Search for: lf the value of the integral ∫01/2 x21−x23/2dx is k6, then k is equal to lf the value of the integral ∫01/2 x21−x23/2dx is k6, then k is equal to A23+πB23-πC32+πD32-π Fill Out the Form for Expert Academic Guidance!l Grade ---Class 1Class 2Class 3Class 4Class 5Class 6Class 7Class 8Class 9Class 10Class 11Class 12 Target Exam JEENEETCBSE +91 Preferred time slot for the call ---9 am10 am11 am12 pm1 pm2 pm3 pm4 pm5 pm6 pm7 pm8pm9 pm10pm Please indicate your interest Live ClassesBooksTest SeriesSelf Learning Language ---EnglishHindiMarathiTamilTeluguMalayalam Are you a Sri Chaitanya student? NoYes Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:We have, ∫01/2 x21−x23/2dx=k6⇒∫0π/6 sin2θcos3θcosθdθ=k6, where x=sinθ⇒ ∫0π/6 tan2θdθ=k6⇒ ∫0π/6 sec2θ−1dθ=k6⇒ [tanθ−θ]0π/6=k6⇒13−π6=k6⇒k=23−π. Related content CBSE Class 11 English Core Writing and Grammar – Tenses Worksheet Top 10 Maths Project for Class 6 Class 10 Maths MCQs How to Download NTA NEET Admit Card 2024 Rashi And Nakshatra Quiz CBSE MCQ for Class 10 Science Genes – Definition, Structure, Diagram and its Types Octal to Binary Converter Km to cm Conversion mm to km Conversion