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`int_(0)^(pi//4)"sin" x d(x- [x])` is equal to , where [x] denotes greatest integer function-A. `(1)/(2)`B. `1 - (1)/(sqrt2)`C. 1D. None of these |
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Answer» Correct Answer - B We have `0 lt x lt pi//4` `0 lt x lt 0.8` [x] = 0 `underset(0)overset(pi//4)(int)sin x d(x-[x])` =`underset(0)overset(pi//4)(int)sin x.d(x-0)` =`-(cos x)_(0)^(pi//4)` =`1 - (1)/(sqrt2)` |
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