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प्रश्न
Integrate the following with respect to x.
`"e"^(xlog"a") + "e"^("a"log"a") - "e"^("n"logx)`
उत्तर
`("e"^(xlog"a") + "e"^("a"log"a") - "e"^("n"logx)) "d"x`
- `int ("e"^(log "a"^x) + "e"^(log "a"^"a") - "e"^("a" log x^"n")) "d"x`
= `int ("a"^1 + "a"^"a" - x^"n") "d"x`
= `["a"^x/(log|"a"|) + "a"^"a" (x) - (x^("n" + 1))/(("n" + 1))] + "c"`
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