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Popular >

integral of x^3-2x+1

Solution

\int x^{3} - 2 x + 1 d x

Solution

\frac{x ^{4}}{4} - x^{2} + x + C

Solution steps

\int x^{3} - 2 x + 1 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int x^{3} d x - \int 2 x d x + \int 1 d x

\int x^{3} d x = \frac{x ^{4}}{4}

\int 2 x d x = x^{2}

\int 1 d x = x

= \frac{x ^{4}}{4} - x^{2} + x

Add a constant to the solution

= \frac{x ^{4}}{4} - x^{2} + x + C

Graph

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\int 5 + 12 x - 9 x^{2} d x

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\int \frac{1}{1 - x ^{2} arccos ( x )} d x

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\int 60 x d x

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\int \frac{e ^{2 x}}{7 e ^{2 x} - 11} d x

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\int x^{2} \cdot e^{x y} d y

Frequently Asked Questions (FAQ)

What is the integral of x^3-2x+1 ?
The integral of x^3-2x+1 is (x^4)/4-x^2+x+C