Gujarat BoardEnglish MediumSTD 12 ScienceMathsIntegrals1 Mark
Question
Find the value of $\int(1+x)\left(1+x^2\right)(1-x) d x$ :
✓
Answer
$\int(1+x)\left(1+x^2\right)(1-x) d x$
$\Rightarrow \int(1+x)(1-x)\left(1+x^2\right) d x$
$\Rightarrow \int\left(1-x^2\right)\left(1+x^2\right) d x$
$\Rightarrow \int\left(1-x^4\right) d x=\int d x-\int x^4 d x$
$\Rightarrow x-\frac{x^5}{5}+C$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.