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Question

Question: \(\int_{}^{}{\sum_{r = 0}^{\infty}\frac{x^{r}2^{r}}{\begin{matrix} r \end{matrix}}}\) dx =...

r=0xr2rr\int_{}^{}{\sum_{r = 0}^{\infty}\frac{x^{r}2^{r}}{\begin{matrix} r \end{matrix}}} dx =

A

ex+ c

B

e2x2\frac{e^{2x}}{2} + c

C

e2x4\frac{e^{2x}}{4} + c

D

2e2x + c

Answer

e2x2\frac{e^{2x}}{2} + c

Explanation

Solution

= e2x