Maharashtra BoardEnglish MediumSTD 12 Commerce / ArtsMaths (commerce)Integration (p-1)1 Mark
Question
Evaluate $\int\left(1+x+\frac{x^2}{2 !}\right) d x$
✓
Answer
$ \int\left(1+x+\frac{x^2}{2 !}\right) d x $ $ \begin{aligned} & =\int 1 d x+\int x d x+\frac{1}{2 !} \int x^2 d x \\ & =x+\frac{x^2}{2}+\frac{1}{2 !} \times \frac{x^3}{3}+c \\ & =x+\frac{x^2}{2}+\frac{x^3}{6}+c . \end{aligned} $
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