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The value of the integral `int _(0)^(pi//2)(sin^100x-cos^100x)dx` isA. `(1)/(100)`B. `(100!)/((100)^100)`C. `(pi)/(100)`D. 0 |
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Answer» Correct Answer - D Let `l=int _(0)^(pi//2)sin^(100)xdx-int_(0)^(pi//2)cos^(100)x dx` `l=int_(0)^(pi//2)sin^(100)((pi)/(2-x))dx-int _(0)^(pi//2)cos^(100)((pi)/(2)-x)dx` `l=int_(0)^(pi//2)cos ^(100)x-int_(0)^(pi//2)sin^(100)x dx` |
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