Question

Find
∫e^2xdx

Answer 1

Answer on Question#50925 - <math> - <integral calculus="">

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

Solution. $\int e^{2x}dx = \frac{1}{2}\int e^{2x}d(2x) = (t = 2x) = \frac{1}{2}\int e^{t}dt = \frac{1}{2}(e^{t} + c) = \frac{1}{2}(e^{2x} + c)$

Answer. $\int e^{2x}dx = \frac{1}{2}(e^{2x} + c)$, where $c \in \mathbb{R}$

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