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Home / Doubts and Solutions/JEE/Mathematics

integration of (sin√x)^3

Asked by madhusharma35845 10th August 2018, 3:22 PM
Answered by Expert
Answer:
begin mathsize 16px style straight I equals integral sin cubed square root of straight x dx Put space square root of straight x space equals space straight t fraction numerator 1 over denominator 2 square root of straight x end fraction dx equals dt rightwards double arrow dx equals 2 tdt straight I equals integral open parentheses sin cubed straight t close parentheses 2 tdt Consider comma sin 3 straight x space equals space 3 sinx minus 4 sin cubed straight x rightwards double arrow sin cubed straight x equals fraction numerator 3 sinx minus sin 3 straight x over denominator 4 end fraction rightwards double arrow integral open parentheses fraction numerator 3 sinx minus sin 3 straight x over denominator 4 end fraction close parentheses 2 tdt Now space integrate space it space further. end style
Answered by Expert 13th August 2018, 10:21 AM
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