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The value of int(-pi)^(pi) sinx f(cosx)d...

The value of `int_(-pi)^(pi) sinx f(cosx)dx` is

A

`pi`

B

`2pi`

C

2f(1)

D

none of these

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-DEFINITE INTEGRALS-Exercise
  1. The value of int(0)^(16pi//3) |sinx|dx is

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  2. If int(0)^(npi) f(cos^(2)x)dx=k int(0)^(pi) f(cos^(2)x)dx, then the va...

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  3. The value of int(-pi)^(pi) sinx f(cosx)dx is

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  4. If a lt int(0)^(2pi)) (1)/(10+3 cos x)dx lt b. Then the ordered pair (...

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  5. The value of the integral int0^(oo) (x logx)/((1+x^(2)))dxis

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  6. The value of the integral int(-pi//2)^(pi//2) sqrt(cos -cos^(2)x)dx is

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  7. The value of the integral int(-pi//2)^(pi//2) sqrt((1+cos^(2)x)/(2))dx...

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  8. Let I(1)=int(1)^(2)(1)/(sqrt(1+x^(2)))dx and I(2)=int(1)^(2)(1)/(x)dx....

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  9. int(0)^(pi//4) (sin x +cos x)/(3+sin2x)dx is equal to

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  10. The value of the integral int(0)^(pi//4) (sin theta+cos theta)/(9+16 s...

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  11. Let (d)/(dx)(f(x))=(e^(sinx))/(x),x gt 0. "If" int1^(4) (3)/(x)e^(sinx...

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  12. If I=int(-1)^(1) {[x^(2)]+log((2+x)/(2-x))}dx where [x] denotes the gr...

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  13. The value of int(-pi//2)^(pi//2)(x^(2)+x cosx+tan^(5)x+1)dx is equal t...

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  14. If int(-1)^(4) f(x)=4 and int(2)^(7) (3-f(x))dx=7, then the value of i...

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  15. The value of I=int(0)^(pi//2) (1)/(1+cosx)dx is

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  16. int(0)^(pi//2) (sin^(2)x)/(sinx+cosx)dxis equal to

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  17. The value of the integral int(a)^(b) (|x|)/(x)dx, a lt b is

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  18. The value of the integral int(0)^(2pi)(sin2 theta)/(a-b cos theta)d ...

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  19. The value of the integral int(0)^(1) x(1-x)^(n)dx, is

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  20. The value of the integral int(0)^(3alpha) cosec (x-alpha)cosec(x-2al...

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