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I=int(dx)/((a+dx^2)sqrt(b-a x^2))...

`I=int(dx)/((a+dx^2)sqrt(b-a x^2))`

A

`(1)/(sqrt(a(a^(2)+b^(2))))tan^(-1)((xsqrt(a^(2)+b^(2)))/(asqrt(b-ax^(2))))+C`

B

`(1)/(sqrt((a^(2)+b^(2))))tan^(-1)((xsqrt(a^(2)+b^(2)))/(asqrt(b-ax^(2))))+C`

C

`(1)/(sqrt(a(a^(2)+b^(2))))tan^(-1)((xsqrt(a^(2)+b^(2)))/a)+C`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A
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