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If I=int(0)^(1) (dx)/(1+x^(4)), then...

If `I=int_(0)^(1) (dx)/(1+x^(4))`, then

A

`I gt 0.78`

B

`I lt 0.78`

C

`I gt 1`

D

none of these

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Exercise
  1. If F(x)=int(x^(2))^(x^(3)) log t dt (x gt 0), then F'(x) equals

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  2. If I=int(0)^(1) (dx)/(sqrt(1+x^(4)))dx then

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  3. If I=int(0)^(1) (dx)/(1+x^(4)), then

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  4. The value of int(-1)^(1)(x|x|)dx is equal to

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  5. If int(0)^(pi//2) cos^(n)x sin^(n) x dx=lambda int(0)^(pi//2) sin^(n)x...

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  6. The value of int(1//e )^(e )(|log x|)/(x^(2))dx, is

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  7. int(ac)^(bc)f(x)dx, where c ne 0, is also equal to :

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  8. (d)/(dx)(int(f(x))^(g(x)) phi(t)dt) is equal to

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  9. If f(x)=ae^(2x)+be^(x)+cx, satisfies the conditions f(0)=-1, f'(log 2)...

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  10. The value of int(0)^(2) | cos ""(pi)/( 2) t|dt is equal to

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  11. If int(0)^(1) cot^(-1)(1-x+x^(2))dx=k int(0)^(1) tan^(-1)x dx, then k=

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  12. If 0 lt a lt 1, then int(-1)^(1) (1)/(sqrt(1-2ax+a^(2)))dx is equal to

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  13. The value of int(0)^(pi//2) (x+sin x)/(1+cos x)dx, is

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  14. If a is a fixed real number such that f(a-x)+f(a+x)=0, then int(0)^(2a...

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  15. The value of int(0)^(pi/2) log((4+3 sin x)/(4+3 cos x))dx, is

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  16. The value of int(0)^(1) tan^(-1)((2x-1)/(1+x-x^(2)))dx is

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  17. The value of int(0)^(2pi) |cos x -sin x|dxis

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  18. If I(1)=int(0)^(1) 2^(x^(2)) dx, I(2)=int(0)^(1) 2^(x^(3)) dx, I(3)=in...

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  19. Consider the integrals I(1)=int(0)^(1)e^(-x)cos^(2)xdx,I(2)=int(0)^(...

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  20. If f(x)=f(a+b-x) for all x in[a,b] and int(a)^(b) xf(x) dx=k int(a)^(b...

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