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int x^(13/2) (1+x^(5/2))^(1/2) dx = P(1+...

`int x^(13/2) (1+x^(5/2))^(1/2) dx = P(1+x^(5/2))^(7/2)+Q(1+x^(5/2))^(5/2) +R(1+x^(5/2))^(3/2)+C` then P, Q ,R are

A

`P=4/35, Q=-8/25, R=4/15`

B

`P=4/35, Q=8/25, R=4/15`

C

`P=-4/35, Q=-8/25, R=4/15`

D

`P=4/35, Q=-8/25,R=-4/15`

Text Solution

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The correct Answer is:
A
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