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Evaluate: (i) int(2^x+3^x)/(5^x)\ dx (ii...

Evaluate: (i) `int(2^x+3^x)/(5^x)\ dx` (ii) `int((a^x+b^x)^2)/(a^x\ b\ ^x)\ dx`

A

`(((a)/(b))^(x)-((b)/(a))^(x))/(loga-logb)+c`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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