\(\int\left(1+\frac{x}{1 !}+\frac{x^2}{2 !}+\ldots \infty\right) d x=\)
\(\int\left(1+\frac{x}{1 !}+\frac{x^2}{2 !}+\ldots \infty\right) d x=\)
- \(\log (x+1)+c\)
- \(\frac{1}{x+1}+c\)
- \(e^x+c\)
- \(-e^{-x}+c\)
Solution
\(\begin{gathered}
\int\left(1+\frac{x}{1 !}+\frac{x^2}{2 !}+\ldots \ldots\right) d x \\
=\int e^x \cdot d x=\left(e^x+c\right)
\end{gathered}\)
Asked in: AP EAMCET 2020 (17 Sep Shift 1)
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