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For int 1/(sqrt((x - a)(b - x))) dx, put...

For `int 1/(sqrt((x - a)(b - x))) dx,` put `x = a cos^2 t + b sin^2 t`
`int (sqrt((a^2 + b^2)/(2)))/(sqrt((3a^2 + b^2)/(4))) (x)/({(sqrt(x^2 - a^2))(b^2 - x^2)} )dx`

A

`pi/2`

B

`pi/4`

C

`pi/3`

D

`pi/12`

Text Solution

Verified by Experts

The correct Answer is:
D
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