InterviewSolution
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InterviewSolution
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`int_(0)^(pi//2)sqrt(costheta)sin^(3)thetad theta` का मान हैA. `(8)/(21)`B. `-(8)/(21)`C. `-(20)/(21)`D. इनमें से कोई नहीं |
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Answer» Correct Answer - A `I=int_(0)^(pi//2)sqrt(costheta)(1-cos^(2)theta)sin thetad theta` माना `costheta=t`, तो `-sinthetad theta=dt` `thereforeI=-int_(1)^(0)sqrt(t)(1-t^(2))dt` `=int_(0)^(1)(sqrt(t)-t^(5//2))dt` `=[(2)/(3)t^(3//2)-(2)/(7)t^(7//2)]_(0)^(1)=(2)/(3)-(2)/(7)=(8)/(21)` |
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