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The value of int(a)^(a+(pi//2))(sin^(4)x...

The value of `int_(a)^(a+(pi//2))(sin^(4)x+cos^(4)x)dx` is

A

`(3pi)/(8)`

B

`a((pi)/(2))^(2)`

C

`(3pia^(2))/(8)`

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-DEFINITE INTEGRALS-Chapter Test 2
  1. Let f(x) be a funntion satifying f'(x)=f(x) with f(0)=1 and g(x) be th...

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  2. If I=int(0)^(1) cos{ 2 "cot"^(-1)sqrt((1-x)/(1+x))}dx then

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  3. The value of int(a)^(a+(pi//2))(sin^(4)x+cos^(4)x)dx is

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  4. The vaue of int(-1)^(2) (|x|)/(x)dx is

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  5. The value of int0^1 (x^(3))/(1+x^(8))dx is

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  6. The value of int(0)^(3) xsqrt(1+x)dx, is

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  7. The value of the integral int(0)^(1) log sin ((pix)/(2))dx is

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  8. The value of the integral int(0)^(pi)x log sin x dx is

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  9. If I(1)=int(0)^(oo) (dx)/(1+x^(4))dx and I(2)underset(0)overset(oo)in...

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  10. If f(x)={{:(x,"for " x lt 1),(x-1,"for " x ge1):},"then" int(0)^(2) x...

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

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  12. If int(0)^(2a) f(x)dx=int(0)^(2a) f(x)dx, then

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  13. If int(0)^(36) (1)/(2x+9)dx =log k, is equal to

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  14. The value of the integral int(0)^(pi//2) sin^(6) x dx, is

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  15. If int(0)^(oo) e^(-x^(2))dx=sqrt((pi)/(2))"then"int(0)^(oo) e^(-ax^(2)...

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  16. The value of the integral int 0^oo 1/(1+x^4)dx is

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  17. If int(pi//2)^(x) sqrt(3-2sin^(2)u) dx+int(dx)^(dy) equal pi//2

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  18. The value of alpha in [0,2pi] which does not satify the equation int(p...

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  19. lim(x to 0)(int(0)^t(x^(2))sinsqrt(t) dt)/(x^(3)) is equl to

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  20. If x satisfies the equation x^(2)( int(0)^(1) (dt)/(t^(2)+ 2t cos al...

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