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int(xlnx)/(x^(2)-1)^(3//2) dx equals...

`int(xlnx)/(x^(2)-1)^(3//2)` dx equals

A

arc `secx-(lnx)/sqrt(x^(2)-1)+C`

B

`sec^(-1)x+(lnx)/sqrt(x^(2)-1)+C`

C

`cos^(-1)x-(lnx)/sqrt(x^(2)-1)+C`

D

`secx-(lnx)/sqrt(x^(2)-1)+C`

Text Solution

Verified by Experts

The correct Answer is:
A
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