evaluate-3-x-dx-

Question Number 44423 by peter frank last updated on 28/Sep/18

e v a l u a t e \int 3^{x} d x

Answered by MrW3 last updated on 28/Sep/18

\int 3^{x} d x

= \int e^{x \ln 3} d x

= \frac{1}{\ln 3} \int e^{x \ln 3} d (x \ln 3)

= \frac{1}{\ln 3} e^{x \ln 3} + C

= \frac{3^{x}}{\ln 3} + C

Commented by peter frank last updated on 29/Sep/18

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