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The value of int0^(1) (dx)/(x+sqrt(1-x^(...

The value of `int_0^(1) (dx)/(x+sqrt(1-x^(2))) dx`

A

`pi/3`

B

`pi`

C

`pi/2`

D

`pi/4`

Text Solution

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The correct Answer is:
D
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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
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  11. The value of int0^(sin^(2)theta) sin^(-1) sqrtphi dphi + int0^(cos^(2)...

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  12. int0^(10pi) |sin x| dx is

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  13. int(-pi)^(pi) (2x(1 + sin x))/(1 + cos^2 x) dx is :

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  14. int0^(sqrt2) [x^(2)] dx = , wher [x] is the greatest integer function

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  15. If P = int0^(3pi) f(cos^(2)x) dx and Q = int0^(pi) f(cos^(2)x) dx then

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  16. If int0^(1) (x^(7))/(sqrt(1-x^(4))) dx =

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  18. The value of the integral int(1/n)^(((an-1))/(n)) sqrtx/(sqrt(a-x) + s...

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  19. For any integer n, the integral : int0^(pi) e^(cos^2) cos^(3) (2n + 1)...

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  20. If f(x) =

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