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

$$evaluate\int 3^{x}dx$$

Answered by MrW3 last updated on 28/Sep/18

$$\int 3^{x}dx$$$$=\int e^{x\ln 3}dx$$$$=\frac{1}{\ln 3}\int e^{x\ln 3}d\left(x\ln 3\right)$$$$=\frac{1}{\ln 3}{e}^{x\ln 3}+C$$$$=\frac{3^x}{\ln 3}+C$$

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

$$thankyousir$$$$$$

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