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Evaluate int(2^(x+1)-5^(x-1))/(10^x) dx...

Evaluate `int(2^(x+1)-5^(x-1))/(10^x) dx`

Text Solution

Verified by Experts

`I=int(2^(x+1)-5^(x-1))/(10^(x))dx`
`=int[2((1)/(5))^(x)-(1)/(5)((1)/(2))^(x)]dx`
`=(2((1)/(5))^(x))/(log((1)/(5)))-(1)/(5)(((1)/(2))^(x))/(log((1)/(2)))+c`
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