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int(-1)^(1) (sqrt(1+x+x^2)-sqrt(1-x+x^2)...

`int_(-1)^(1) (sqrt(1+x+x^2)-sqrt(1-x+x^2))/(sqrt(1+x+x^2)+sqrt(1-x+x^2)) dx=`

A

`(3pi)/(2)`

B

`(pi)/(2)`

C

0

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
C
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SIA PUBLICATION-DEFINITE INTEGRALS-PROBLEMS
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  13. If I(a) = int(0)^(pi//4) tan^(n) theta d theta for n=1,2,3,…, then I(n...

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  14. If I(n) = int(0)^(pi//2) tan^(n) xdx, then I2 + I4, I3+I5,I4 + I6,…., ...

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  15. The area (in square units) of the region enclosed by the two circles x...

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  16. int(0)^(pi) (1)/(1+sinx)dx is equal to

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  18. int(0)^(1) x^(3//2) sqrt(1-x) dx is equal to

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  19. int(-pi//2)^(pi//2) sin|x| dx is equal to

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