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The value of the integral int0^(pi//2) (...

The value of the integral `int_0^(pi//2) (sin^(100) x - cos^(100) x) dx` is :

A

`(100!)/((100)^(10))`

B

`1/(100)`

C

0

D

`pi/100`

Text Solution

Verified by Experts

The correct Answer is:
C
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  11. If f(x) = f(pi + e - x) and inte^(pi) f(x) dx = 2/(e + pi), then inte^...

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  12. The value of the integral int(-pi//4)^(pi//4)log(sec theta-tan theta...

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  13. The interval I such that int0^1 (dx)/(sqrt(1 + x^4)) in I is given by ...

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  14. int0^(pi//2) log(tan x)dx =

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  15. The value of int(-2)^(2)(ax^(3)+bx+c) dx depends on the

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  16. int(0)^(pi//4)log ((sin x +cos x )/(cosx))dx is equal to

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  17. int(-pi//4)^(pi//4)(dx)/(1+cos 2x) is equal to

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  20. If int0^(pi) x f (sin x) dx = A int0^(pi//2) f (sin x) dx, then A is :

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