Integrate the following functions w.r.t. x: x^3+x^2-x+1 - Vidyadip

Question

Integrate the following functions w.r.t. x:

$x^3+x^2-x+1$

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Answer

$\int\left(x^3+x^2-x+1\right) d x=\int x^3 d x+\int x^2 d x-\int x d x+\int 1 d x$

$=\frac{x^4}{4}+\frac{x^3}{3}-\frac{x^2}{2}+x+c$

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