Question
Question: \(\int_{}^{}{\sum_{r = 0}^{\infty}\frac{x^{r}2^{r}}{\begin{matrix} r \end{matrix}}}\) dx =...
∫∑r=0∞rxr2r dx =
A
ex+ c
B
2e2x + c
C
4e2x + c
D
2e2x + c
Answer
2e2x + c
Explanation
Solution
= e2x
∫∑r=0∞rxr2r dx =
ex+ c
2e2x + c
4e2x + c
2e2x + c
2e2x + c
= e2x