1.

The value of the integral ` int _(0)^(pi//2) (sin ^(100)x - cos^(100)x) dx ` isA. `(1)/(100)`B. `(100!)/((100)^(100))`C. `(pi)/(100)`D. 0

Answer» Correct Answer - D
` l = int _(0)^(pi//2) ( sin ^(100) x - cos^(100)x) dx `
` rArr l = uint _(0)^(pi//2) [ sin^(100) (pi/2 - x ) - cos ^(100) (pi/2 - x) dx ] ` ,
` rArr l = int _(0)^(pi//2) ( cos ^(100) x - sin ^(100) x) dx `
` rArr 2l = 0`
` rArr l = 0 `


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