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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^(x))/(5^(x)(log2-log5))-(3^(x))/(5^(x)(log3-log5))+c`

B

`(2^(x))/(5^(x)(log2-log5))+(3^(x))/(5^(x)(log3-log5))+c`

C

`(3^(x))/(5^(x)(log3-log5))-(2^(x))/(5^(x)(log2-log5))+c`

D

`(3^(x))/(5^(x)(log5-log3))+(2^(x))/(5^(x)(log5-log2))+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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