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int(0)^(pi) k(pix-x^(2))^(100)sin2x" dx"...

`int_(0)^(pi) k(pix-x^(2))^(100)sin2x" dx"` is equal to

A

`pi^(100)`

B

`(1)/(2)(pi^(100)-pi^(97))`

C

`(1)/(2)(pi^(100)+pi^(97))`

D

0

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-DEFINITE INTEGRALS-Exercise
  1. The integral int(0)^(pi) (1)/(a^(2)-2 a cos x+1)dx (a lt 1) is

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  2. The integral int(0)^(pi//2) f(sin 2 x)sin x dx is equal to

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  3. int(0)^(pi) k(pix-x^(2))^(100)sin2x" dx" is equal to

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  4. The value of the integral int(2)^(4) (sqrt(x^(2)-4))/(x^(4))dx is

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  5. The value of the integral int(0)^(pi)(1)/(a^(2)-2a cos x+1)dx (a gt1),...

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  6. If f(x) and g(x) are continuous functions satisfying (x)=f(a-x) and g(...

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  7. int0^(pi//2) x(sqrt(tan x)+sqrt(cot x))dx equals

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  8. The value of the integral int(1//3)^(1)((x-x^(3))^(1//3))/(x^(4))dx ...

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  9. The value of the integral int(0)^(100pi) sqrt(1-cos2x)" d"xis

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  10. The value of the integral int(-1//2)^(1//2) {((x+1)/(x-1))^(2)+((x-...

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  11. The value of the integral int(1//e)^(e) |logx|dx, is

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  12. The value of int(0)^(pi//2) (sin 8x log cot x)/(cos 2x)dx, is

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  13. The value of int(0)^(pi//2) x^(10) sin x" dx", is then the value of m...

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  14. The value of int(0)^(pi//2) (1)/(1+tan^(3)x)dx is

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  15. The value of int0^pi(sin(n+1/2)x)/(sin(x/2)dx is

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  16. If (d)/(dx)f(x)=g(x) for a le x le b then, int(a)^(b) f(x) g(x) dx eq...

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  17. For any integer n,the integral int(0)^(3) e^(sin^(2)x)cos^(3)(2n+1)x" ...

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  18. The value of the integral int(0)^(3) sqrt(3+x^(3))dxlies in the inter...

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  19. The value of the integral int(0)^(1) (1)/((1+x^(2))^(3//2))dx is

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  20. If I=int(0)^(2pi) sin^(2) x" dx", then

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