InterviewSolution
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InterviewSolution
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`=int_(-pi//2)^(pi//2)sin^(2)xdx` का मान हैA. `(pi)/(2)`B. `pi`C. `(pi)/(2)+(1)/(2)`D. `pi+1` |
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Answer» Correct Answer - A माना `f(x)=sin^(2)x` `f(-x)=sin^(2)(-x)=sin^(2)x=f(x)` `thereforeint_(-pi//2)^(pi//2)sin^(2)xdx=2int_(0)^(pi//2)sin^(2)xdx` `(2lceiling((2+1)/(2))lceiling((1)/(2)))/(2lceiling((2+0+2)/(2)))` `=(2xx(1)/(2)sqrt(pi)xxsqrt(pi))/(2)=(pi)/(2)` |
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