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This method is called the limit of sum, which is the basic principle behind integration. Integration can be used to find areas, volumes, central points and many useful things. This module will describe the method of finding the area under a curve, using integration.\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Ch3\u003ELearning Objectives:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAfter completing this module, you will be able to:\u003C\/div\u003E \r\n\u003Cdiv\u003E- Define the definite integral as the limit of a sum.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Use definite integrals to find the area between a curve and the x-axis.\u003C\/div\u003E","CONT_DESC_AR":"Integration can be used to find areas, volumes, central points and many useful things.But it is easiest to start with finding the area under the curve of a function.\u003C\/br\u003E\u003C\/br\u003E\r\n\u003Cstrong\u003ELearning Objectives\u003C\/strong\u003E\u003C\/br\u003E\u003C\/br\u003E\r\nIn this topic, you will be able to:\u003C\/br\u003E\r\n\u2022 define the definite integral as the limit of a sum\u003C\/br\u003E\r\n\u2022 use definite integrals to find the area between a curve and the x-axis","BACKING_FILE":"ss300015.apk","FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":"","MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.ss300015","TOPIC_ID":"ss300015","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_SS300015.jpg","PUBLIC_BANNER_IMG":"SS300015.jpg","PUBLIC_VIDEO":"pvideo_ss300015.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/kojlvAWPJTk","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"2020-12-22 05:25:39","CREATED_BY":"1","UPDATED_ON":"0000-00-00 00:00:00","UPDATED_BY":"2","CONT_ORDER":"0","X_ROTATION":null,"Y_ROTATION":null,"Z_ROTATION":null,"BG_COLOR":"0x000000","X_POSITION":null,"Y_POSITION":null,"Z_POSITION":null,"TEMP_DESC":"\u0026lt;div\u0026gt;Overview:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;Adding slices of infinitely small width leads us to find the whole. This method is called the limit of sum, which is the basic principle behind integration. Integration can be used to find areas, volumes, central points and many useful things. 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The average rate of change in any function calculates the amount of change in one item divided by the corresponding amount of change in another.\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Ch3\u003ELearning Objectives:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAfter completing this module, you will be able to:\u003C\/div\u003E \r\n\u003Cdiv\u003E- Calculate the rate of change of a function from the given table and graph.\u003C\/div\u003E","CONT_DESC_AR":"Slope and Rate of Change.\u003C\/br\u003E\r\nThe word slope (gradient, incline, pitch) is used to describe the measurement of the steepness of a straight line.\u003C\/br\u003E\r\nThe higher the slope, the steeper the line.\u003C\/br\u003E\r\nThe slope of a line is a rate of change\u003C\/br\u003E\u003C\/br\u003E\r\n\u003Cstrong\u003ELearning Objectives\u003C\/strong\u003E\u003C\/br\u003E\u003C\/br\u003E\r\nIn this topic you will be able to:\u003C\/br\u003E\r\n\u2022 calculate the rate of change of a linear function from the given information as set of ordered pairs, a table, or a graph","BACKING_FILE":"ss300050.apk","FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":"","MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.ss300050","TOPIC_ID":"ss300050","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_SS300050.jpg","PUBLIC_BANNER_IMG":"SS300050.jpg","PUBLIC_VIDEO":"pvideo_ss300050.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/-lYGscxM51k","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"2020-12-22 05:25:39","CREATED_BY":"1","UPDATED_ON":"0000-00-00 00:00:00","UPDATED_BY":"2","CONT_ORDER":"0","X_ROTATION":null,"Y_ROTATION":null,"Z_ROTATION":null,"BG_COLOR":"0x000000","X_POSITION":null,"Y_POSITION":null,"Z_POSITION":null,"TEMP_DESC":"\u0026lt;div\u0026gt;Overview:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;Rate of change is defined as the value that results from dividing the change in a function of a variable by the change in the variable. The average rate of change in any function calculates the amount of change in one item divided by the corresponding amount of change in another.\u0026amp;nbsp;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;Learning Objectives:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;div\u0026gt;After completing this module, you will be able to:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Calculate the rate of change of a function from the given table and graph.\u0026lt;\/div\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;\/div\u0026gt;","IS_ANALYTICS":"Y","VR_ENABLE":"Y","VR_SESSION_ENABLE":"Y","YOUTUBE_URL":null,"CONT_TYPE":"VR Module","CAT_NAME":"T\u1ec9 l\u00ea\u0323 thay \u0111\u00f4\u0309i","ADMSUBJECT_ID":"1610","ADMCOURSE_ID":"461","DISPLAY_NAME":"Gi\u1ea3i t\u00edch","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Gi\u1ea3i t\u00edch","SUBJECT_NAME_AR":"","SUBJECT_DESC":"\u0026nbsp;","SUBJECT_DESC_AR":"","SUBJECT_IMG":"","SUBJECT_BANNER_IMG":null,"SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"To\u00e1n - THPT","COUNTRY_ID":"363","SHORT_NAME":"Vietnamese Curriculum","DOMAIN_NAME":"STEM"}],"levelObject":["Derivative","Limit","Sum","Value","Integral","Area","Integration"],"contData":{"CONT_ID":"379","CATEGORY_ID":"1","CONT_TITLE":"Introduction to the Integral","CONT_SLUG":"introduction-to-the-integral","CONT_TITLE_AR":"Introduction to the Integral","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAdding slices of infinitely small width leads us to find the whole. This method is called the limit of sum, which is the basic principle behind integration. Integration can be used to find areas, volumes, central points and many useful things. This module will describe the method of finding the area under a curve, using integration.\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Ch3\u003ELearning Objectives:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAfter completing this module, you will be able to:\u003C\/div\u003E \r\n\u003Cdiv\u003E- Define the definite integral as the limit of a sum.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Use definite integrals to find the area between a curve and the x-axis.\u003C\/div\u003E","CONT_DESC_AR":"Integration can be used to find areas, volumes, central points and many useful things.But it is easiest to start with finding the area under the curve of a function.\u003C\/br\u003E\u003C\/br\u003E\r\n\u003Cstrong\u003ELearning Objectives\u003C\/strong\u003E\u003C\/br\u003E\u003C\/br\u003E\r\nIn this topic, you will be able to:\u003C\/br\u003E\r\n\u2022 define the definite integral as the limit of a sum\u003C\/br\u003E\r\n\u2022 use definite integrals to find the area between a curve and the x-axis","BACKING_FILE":"ss300015.apk","FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":"","MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.ss300015","TOPIC_ID":"ss300015","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_SS300015.jpg","PUBLIC_BANNER_IMG":"SS300015.jpg","PUBLIC_VIDEO":"pvideo_ss300015.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/kojlvAWPJTk","DIST":"AF,AX,AL,DZ,AS,AD,AO,AI,AG,AR,AM,AW,AU,AT,AZ,BS,BH,BD,BB,BY,BE,BZ,BJ,BM,BT,BO,BQ,BA,BW,BR,IO,BN,BG,BF,BI,KH,CM,CA,KY,CF,TD,CL,CN,CX,CC,CO,KM,CG,CR,HR,CU,CW,CY,CZ,CD,DK,DJ,DM,DO,EC,EG,SV,GQ,ER,EE,ET,FK,FJ,FI,FR,GF,PF,GA,GM,GE,DE,GH,GI,GR,GL,GD,GP,GU,GT,GG,GN,GW,GY,HT,HN,HK,HU,IS,IN,ID,IR,IQ,IE,IM,IT,JM,JP,JE,JO,KZ,KE,KI,XK,KW,KG,LA,LV,LB,LS,LR,LY,LI,LT,LU,MO,MK,MG,MW,MY,MV,ML,MT,MH,MQ,MR,MU,YT,MX,FM,MD,MC,MN,ME,MS,MA,MZ,MM,NA,NR,NP,NL,NC,NZ,NI,NE,NG,NU,NF,KP,MP,NO,OM,PK,PW,PS,PA,PG,PY,PE,PH,PN,PL,PT,PR,QA,RE,RO,RU,RW,BL,SH,KN,LC,MF,PM,VC,WS,SM,ST,SA,SN,RS,SC,SL,SG,SX,SK,SI,SB,SO,ZA,GS,KR,SS,ES,LK,SD,SR,SJ,SZ,SE,CH,SY,TW,TJ,TZ,TH,TL,TG,TK,TO,TT,TN,TR,TM,TC,TV,UG,UA,AE,GB,US,UY,UZ,VU,VA,VE,VN,WF,YE,ZM,ZW","SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":"0","CREATED_ON":"2017-06-22 11:33:15","CREATED_BY":"1","UPDATED_ON":"2024-10-08 12:04:00","UPDATED_BY":"2","CONT_ORDER":"0","X_ROTATION":null,"Y_ROTATION":null,"Z_ROTATION":null,"BG_COLOR":"0x000000","X_POSITION":null,"Y_POSITION":null,"Z_POSITION":null,"TEMP_DESC":"\u0026lt;div\u0026gt;Overview:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;Adding slices of infinitely small width leads us to find the whole. This method is called the limit of sum, which is the basic principle behind integration. Integration can be used to find areas, volumes, central points and many useful things. This module will describe the method of finding the area under a curve, using integration.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;Learning Objectives:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;div\u0026gt;After completing this module, you will be able to:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Define the definite integral as the limit of a sum.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Use definite integrals to find the area between a curve and the x-axis.\u0026lt;\/div\u0026gt;\u0026lt;\/div\u0026gt;","IS_ANALYTICS":"Y","VR_ENABLE":"Y","VR_SESSION_ENABLE":"Y","YOUTUBE_URL":null,"CONT_TYPE":"VR Module","CAT_NAME":"Introduction to the Integral","DISPLAY_NAME":"NGSS New - High School - Mathematics","DISPLAY_NAME_AR":"NGSS New - High School - Mathematics","SUBJECT_IMG":"560.jpg","ADMSUBJECT_ID":"560","SUBJECT_NAME":"Mathematics","SUBJECT_NAME_AR":"Mathematics","ADMCOURSE_ID":"192","COURSE_NAME":"High School","COUNTRY_ID":"287","STANDARD_ID":"287","SHORT_NAME":"NGSS","LANG_ID":null,"LOCALE_TITLE":null,"LOCALE_DESC":null,"DIR":null,"LANG_NAME":null,"DOMAIN_NAME":"STEM","DOMAIN_DESC":"STEM"},"checkLang":["English - US","\u4e2d\u6587","\u0639\u0631\u0628\u064a","Espa\u00f1ol","Ti\u1ebfng Vi\u1ec7t"],"devices":["UmetyVR","WebXR"]}