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

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

A

`((a//b)^(x)+(b//a)^(x))/(log a+ log b) -2x+c`

B

`((a//b)^(x)+(b//a)^(x))/(log a -log b) -2x+c`

C

`((a//b)^(x)-(b//a)^(x))/(log a- log b) +2x+c`

D

`((a//b)^(x)+(b//a)^(x))/(log a+ log b) +2x+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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