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Question Number 186566 by Davidtim last updated on 06/Feb/23

$$\int 4^{x^{dx}}=?$$

Commented by mr W last updated on 06/Feb/23

$$\int 4^{x}dxismeant?$$$$\int 4^{x}dx$$$$=\int e^{x\ln 4}dx$$$$=\frac{1}{\ln 4}\int e^{x\ln 4}d\left(x\ln 4\right)$$$$=\frac{e^{x\ln 4}}{\ln 4}+C$$$$=\frac{4^x}{\ln 4}+C$$

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