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Evaluate : inta/(a^xb^x)dx...

Evaluate : `inta/(a^xb^x)dx`

Text Solution

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`1/(a^xb^x)=1/(ab)^x`
`=(ab)^(-x)`
`=e^(loge(ab)*(-x))`
`int1/(a^xb^x)dx=inte^(loge(ab)*(-x)`
`=1/(-loge(ab))e^(loge(ab)^(-x)`
`=1/log_e(ab)*(ab)^(-x)+c`
`=(a^(-x)*b^(-x))/(log_e(ab))+c`.
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