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Evaluate: ∫3x-4x5x dx - Mathematics and Statistics

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Question

Evaluate:

`int(3^x - 4^x)/(5^x) dx`

Evaluate
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Solution

`int(3^x - 4^x)/(5^x) dx`

= `int ((3^x)/(5^x)-(4^x)/(5^x)) dx`

= `int(3/5)^x dx - int (4/5)^x dx`

= `((3/5)^x)/(log(3/5))-(4/5)^x/log(4/5) + c`

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