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Q. int0^pie^(cos^2x)( cos^3(2n+1) x dx, ...

Q. `int_0^pie^(cos^2x)( cos^3(2n+1) x dx, n in I`

A

`pi`

B

1

C

0

D

none of these

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Exercise
  1. If I=int(3)^(4) (1)/(3sqrt(logx))dxthen

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  2. If I=int(0)^(1//2) (1)/(sqrt(1-x^(2n)))dxthen which one of the follow...

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  3. Q. int0^pie^(cos^2x)( cos^3(2n+1) x dx, n in I

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  4. The value of the integral int(0)^(2a) (f(x))/(f(x)+f(2a-x))dx is equal...

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  5. If int(0)^(1) (log(1+x)/(1+x^(2))dx=

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  6. Ifint(log2)^x(dx)/(sqrt(e^x-1))=pi/6,"then " x " is equal to" (a)4 ...

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  7. The value of the integral overset(pi)underset(0)int log(1+cos x)dx is

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  8. The value of the integral overset(pi)underset(0)int(1)/(a^(2)-2a cos x...

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

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

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

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

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  13. If fa n dg are continuous function on [0,a] satisfying f(x)=f(a-x)a n ...

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

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  15. Choose the correct answer The value of the integral int1/3 1((x-x^3)^(...

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  16. Evaluate: int0^(100pi)sqrt((1-cos2x))dxdot

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  17. Evaluate: int(-1/2)^(1/2)[((x+1)/(x-1))^2+((x-1)/(x+1))^2-2]^(1/2)dx

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

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

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

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