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प्रश्न
Integrate the following functions with respect to x :
`"e"^(x log "a") "e"^x`
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उत्तर
`int "e"^(x log "a") "e"^x = int "e"^(log "a"^x) * "e"^x * "d"x`
= `int "a"^x "e"^x * "d"x`
= `int ("ae")^x * "d"x`
`[int "a"^x * "d"x = "a"^x/log"a" + "c"]`
= `("ae")^x/(log("ae")) + "c"`
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