AP EAMCET · Maths · Indefinite Integration
\(\int\left(1+\frac{x}{1 !}+\frac{x^2}{2 !}+\ldots \infty\right) d x=\)
- A \(\log (x+1)+c\)
- B \(\frac{1}{x+1}+c\)
- C \(e^x+c\)
- D \(-e^{-x}+c\)
Answer & Solution
Correct Answer
(C) \(e^x+c\)
Step-by-step Solution
Detailed explanation
\(\begin{gathered} \int\left(1+\frac{x}{1 !}+\frac{x^2}{2 !}+\ldots \ldots\right) d x \\ =\int e^x \cdot d x=\left(e^x+c\right) \end{gathered}\)
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