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intxsqrt((a^2-x^2)/(a^2+x^2))dx...

`intxsqrt((a^2-x^2)/(a^2+x^2))dx`

A

`(-1)/(2)sqrt(a^4-x^4)+(a^2)/(2)cos^(-1)((x^2)/(a^2))+c`

B

`(-1)/(2)sqrt(a^4-x^4)-(a^2)/(2)cos^(-1)((x^2)/(a^2))+c`

C

`(1)/(2)sqrt(a^4-x^4)-(a^2)/(2)cos^(-1)((x^2)/(a^2))+c`

D

`(1)/(2)sqrt(a^4-x^4)+(a^2)/(2)cos^(-1)((x^2)/(a^2))+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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