[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-523577-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-523577-en":131},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","indefinite-integrals-worksheet-14","Indefinite Integrals - Worksheet 14","","This document provides a set of practice problems focused on evaluating indefinite integrals, designed for precalculus students. The content includes eight standard calculus problems involving polynomial integration and a critical thinking question requiring students to differentiate a given function to verify the relationship between derivatives and indefinite integrals. It serves as an effective learning assessment tool for students to practice power rule applications and fundamental integration techniques within a structured academic framework.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/indefinite-integrals-worksheet-14/523577/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/indefinite-integrals-worksheet-14/523577.png","ImageObject",300,407,{"name":42,"@type":43},"dabgoudw","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",12,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What is the primary objective of this worksheet?","Question",{"text":63,"@type":64},"The primary objective is to help students practice and evaluate indefinite integrals using standard calculus techniques.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What is the relationship between the derivative of 2x^3 - 2x^2 + C and the integral in problem 7?",{"text":68,"@type":64},"The derivative of 2x^3 - 2x^2 + C is 6x^2 - 4x, which is the integrand of the expression found in problem 7, demonstrating the inverse relationship between differentiation and integration.",{"name":70,"@type":61,"acceptedAnswer":71},"Does the document provide solutions to the problems?",{"text":72,"@type":64},"Yes, the document includes a section that provides the step-by-step solutions for each of the eight indefinite integral problems and the answer to the critical thinking question.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},523577,1791492741,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":144,"read_time":96,"preview_page_count":4},3985747860484,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Kuta Software-Infinite Precalculus Name   \nIndefinite Integrals Date  Period   \nEvaluate each indefinite integral.  \n1) 􀀖􀀓x 􀀘 dx 2) 􀀕􀀗x 􀀘 dx  \n3) 􀀐􀀖 dx 4) 􀀔􀀘 x 􀀕 dx  \n5) (􀀔􀀕x 􀀘 􀀐 􀀙x) dx 6) (􀀕􀀓x 􀀖 􀀎 􀀗x) dx  \n7) (􀀔􀀕x 􀀘 􀀐 􀀗x) dx 8) (􀀕􀀗x 􀀘 􀀎 􀀔) dx  \n􀂳  \n􀂳  \n􀂳  \n􀂳  \n􀂳  \n􀂳  \n􀂳  \n􀂳  \nCritical thinking question:  \n9) What is the derivative of 􀀕x 􀀙 􀀐 􀀕x 􀀕 + C?  \nKuta Software-Infinite Precalculus Name   \nIndefinite Integrals Date  Period   \nEvaluate each indefinite integral.  \n1) 􀀖􀀓x 􀀘 dx 2) 􀀕􀀗x 􀀘 dx  \n􀀘x􀀙 + C 􀀗x 􀀙 + C  \n3) 􀀐􀀖 dx 4) 􀀔􀀘 x 􀀕 dx  \n􀀐􀀖 x + C 􀀘x􀀖 + C  \n5) (􀀔􀀕x 􀀘 􀀐 􀀙x) dx 6) (􀀕􀀓x 􀀖 􀀎 􀀗x) dx  \n􀀕x 􀀙 􀀐 􀀖 x 􀀕 + C 􀀘x􀀗 􀀎 􀀕x 􀀕 + C  \n7) (􀀔􀀕x 􀀘 􀀐 􀀗x) dx 8) (􀀕􀀗x 􀀘 􀀎 􀀔) dx  \n􀀕x 􀀙 􀀐 􀀕x 􀀕 + C 􀀗x 􀀙 􀀎 x + C  \n􀂳  \n􀂳  \n􀂳  \n􀂳  \n􀂳  \n􀂳  \n􀂳  \n􀂳  \nCritical thinking question:  \n9) What is the derivative of 􀀕x 􀀙 􀀐 􀀕x 􀀕 + C?  \n􀀔􀀕x 􀀘 􀀐 􀀗x  \nCreate your own worksheets like this one with Infinite Precalculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiqSxcsFHNxeo","https://ap.wps.com/l/cbCaiqSxcsFHNxeo","pdf",19425,"English","# Indefinite Integrals Practice Problems\n## Critical Thinking Question","[{\"question\":\"What is the primary objective of this worksheet?\",\"answer\":\"The primary objective is to help students practice and evaluate indefinite integrals using standard calculus techniques.\"},{\"question\":\"What is the relationship between the derivative of 2x^3 - 2x^2 + C and the integral in problem 7?\",\"answer\":\"The derivative of 2x^3 - 2x^2 + C is 6x^2 - 4x, which is the integrand of the expression found in problem 7, demonstrating the inverse relationship between differentiation and integration.\"},{\"question\":\"Does the document provide solutions to the problems?\",\"answer\":\"Yes, the document includes a section that provides the step-by-step solutions for each of the eight indefinite integral problems and the answer to the critical thinking question.\"}]","Indefinite Integrals - Worksheet 14 | PDF",1791427048]