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Question Number 188036 by Michaelfaraday last updated on 25/Feb/23

$$\int 2^x{e}^{x}dx$$

Answered by MJS_new last updated on 25/Feb/23

$$\int 2^x{\mathrm{e}}^{x}dx=\int {\mathrm{e}}^{(1+\ln 2)x}dx=\frac{{\mathrm{e}}^{(1+\ln 2)x}}{1+\ln 2}=$$$$=\frac{2^x{\mathrm{e}}^x}{1+\ln 2}+C$$

Commented by Michaelfaraday last updated on 01/Mar/23

$$thankssir$$

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