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The integral underset(0)overset(pi)int x...

The integral `underset(0)overset(pi)int x f(sinx )dx` is equal to

A

`pi int_(0)^(pi//2) f ( cos x)dx`

B

`pi int_(0)^(pi) f ( cos x) dx`

C

`pi int_(0)^(pi) f ( sin x) x`

D

`pi/2 int_(0)^(pi//2) f( sin x) dx`

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The correct Answer is:
A
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MCGROW HILL PUBLICATION-DEFINITE INTEGRALS-Questions from Previous Years. AIEEE/ JEE Main Papers
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  2. overset(-pi//2)underset(-3pi//2)int{(x+pi)^(3)+cos^(2)(x+3pi)}dx, is

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  3. The integral underset(0)overset(pi)int x f(sinx )dx is equal to

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  4. The value of int(1)^(a) [x] f'(x) dx, a gt 1, where [x] denotes the gr...

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  5. Let F (x) = f(x) + f ((1)/(x)), where f (x) = int (1) ^(x ) (log t)/(1...

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  6. The solution for x of the equation int (sqrt2) ^(x) (dt)/( sqrt(t ^(...

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  7. Let I=overset(1)underset(0)int (sin x)/(sqrt(x))dx andI=overset(1)unde...

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  8. int(0)^(pi)[cotx]dx, where [.] denotes the greatest integer function, ...

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  9. Let p(x) be a function defined on R such that p'(x)=p'(1-x) for all x ...

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  10. The value of int(8 log(1+x))/(1+x^(2)) dx is

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  11. For x epsilon(0,(5pi)/2), definite f(x)=int(0)^(x)sqrt(t) sin t dt. T...

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  12. Let [] denote the greatest integet function then the value int0^1.5 x[...

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  13. Ifg(x)= int(0)^(x) cos 4t dt, "then " g (x+pi) equals

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  14. The intercepts on x-axis made by tangents to the curve, y=int0^x|t|...

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  15. Statement I The value of the integral int(pi//6)^(pi//3) (dx)/(1+sqrt...

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

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  17. Variable x and y are related by equation x =int0^y (dt)/sqrt(1+t^2). ...

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  18. The integral int(7pi//4)^(7pi//3) sqrt(tan^(2) x) dx is equal to

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  19. The integral int0^pisqrt(1+4sin^2x/2-4sinx/2dx) equal (1) pi-4 (2)...

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  20. the integral int0^(1/2) (ln(1+2x))/(1+4x^2) dx equals

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