[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522889-105":59,"doc-detail-522889-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","integration-power-rule-calculus-practice-worksheet","Integration Power Rule - Calculus Practice Worksheet","","This document is a calculus practice worksheet generated by Kuta Software for the Infinite Calculus curriculum. It focuses on the application of the power rule for indefinite integration. The content consists of a series of 16 calculus problems requiring students to compute indefinite integrals for various polynomial and power-based functions. Each problem provides an opportunity to practice integration techniques, including handling coefficients, negative exponents, and combined terms. The worksheet includes clear problem statements and provides the final solved expressions with the constant of integration, making it a comprehensive resource for students learning fundamental integration skills. It is designed for educational classroom use or individual study, reinforcing the essential rules of calculus through repetitive, structured practice to ensure mastery of basic integral calculus operations.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/integration-power-rule-calculus-practice-worksheet/522889/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/integration-power-rule-calculus-practice-worksheet/522889.png","ImageObject",300,407,{"name":92,"@type":93},"Fahsai","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",12,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the primary topic of this worksheet?","Question",{"text":113,"@type":114},"The worksheet focuses on the application of the power rule for finding indefinite integrals in calculus.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How many problems are included in the practice set?",{"text":118,"@type":114},"There are 16 problems in total, covering various types of polynomial and power functions.",{"name":120,"@type":111,"acceptedAnswer":121},"Are solutions provided for the problems?",{"text":122,"@type":114},"Yes, the document provides the evaluated indefinite integrals, including the constant of integration C for each problem.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},522889,1791491095,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":52,"preview_page_count":4},549768702563,"https://ap-avatar.wpscdn.com/avatar/8000c4aa63b76e948b?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786536092046926083","Kuta Software-Infinite Calculus Name   \nIntegration Power Rule Date  Period   \nEvaluate each indefinite integral.  \n1) ∫ −24x5 dx 2) ∫ −3 dx  \n3) ∫ −6x dx 4) ∫ 12x2 dx  \n5) ∫ (−24x5 − 10x) dx 6) ∫ (−9x2 + 10x) dx  \n7) ∫ 4x−5 dx 8) ∫ −2x−3 dx  \n9) ∫ (−2x−3 + 20x−5 ) dx 10) ∫ (−4x−3 − 20x−5 ) dx  \n11) ∫ (− ~~ ~~4x3~~ ~~ − ~~ ~~8x5~~ ~~) dx 12) ∫ (~~ ~~15x4 + 8x5~~ ~~) dx  \n13) ∫ −  14x252~~ ~~  dx 14) ∫ −  35x525~~ ~~  dx  \n15) ∫ − ~~ ~~5~~ ~~33~~ ~~ dx 16) ∫ − ~~ ~~5~~ ~~42~~ ~~ dx  \nKuta Software-Infinite Calculus Integration Power Rule  \nEvaluate each indefinite integral.  \n1) ∫ −24x5 dx  \n−4x6 + C  \nName  Date  Period   \n2) ∫ −3 dx  \n−3x + C  \n3) ∫ −6x dx 4) ∫ 12x2 dx  \n−3x2 + C 4x3 + C  \n5) ∫ (−24x5 − 10x) dx 6) ∫ (−9x2 + 10x) dx  \n−4x6 − 5x2 + C −3x3 + 5x2 + C  \n7) ∫ 4x−5 dx 8) ∫ −2x−3 dx  \n− 1  + C  1  + C  \nx 4 x 2  \n9) ∫ (−2x−3 + 20x−5 ) dx  \n1  5   \n−  \nx 2 x4  \n+ C  \n11) ∫ (− ~~ ~~4x3~~ ~~ − ~~ ~~8x5~~ ~~) dx  \n 2  +  2  + Cx 2 x4  \n15) ∫ − ~~ ~~5~~ ~~33~~ ~~ dx  \n5  \n3  \n−x + C  \n10) ∫ (−4x−3 − 20x−5 ) dx  \n 2   \nx 2  \n+  \n5  \nx4  \n+ C  \n12) ∫ (~~ ~~15x4 + 8x5~~ ~~) dx  \n−  5  −  2  + Cx 3 x4  \n2  \n5  \n14) ∫ − ~~ ~~35x~~ ~~ dx  \n5  \n7  \n5  \n−5x + C  \n16) ∫ − ~~ ~~5~~ ~~42~~ ~~ dx 5  \n4  \n−2x + C  \nCreate your own worksheets like this one with Infinite Calculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiaaQo4Z1zV4c","https://ap.wps.com/l/cbCaiaaQo4Z1zV4c","pdf",35014,"English","# Integration Power Rule Exercises\n## Problem Set\n## Answer Key and Solutions","[{\"question\":\"What is the primary topic of this worksheet?\",\"answer\":\"The worksheet focuses on the application of the power rule for finding indefinite integrals in calculus.\"},{\"question\":\"How many problems are included in the practice set?\",\"answer\":\"There are 16 problems in total, covering various types of polynomial and power functions.\"},{\"question\":\"Are solutions provided for the problems?\",\"answer\":\"Yes, the document provides the evaluated indefinite integrals, including the constant of integration C for each problem.\"}]","Integration Power Rule - Calculus Practice Worksheet | PDF",1791426276]