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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

`(((2)/(5))^(x))/(log((2)/(5)))+(((3)/(5))^(x))/(log((3)/(5)))+c`

B

`((2)/(5))^xlog((5)/(2))+((3)/(5))^(x)log((5)/(3))+c`

C

`(((2)/(5))^(x))/(log((5)/(2)))+(((3)/(5))^(x))/(log((5)/(3)))+c`

D

`((2)/(5))^xlog((2)/(5))+((3)/(5))^(x)log((3)/(5))+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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