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Popular >

integral of x^3-3x+2

Solution

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

Solution

\frac{x ^{4}}{4} - \frac{3 x ^{2}}{2} + 2 x + C

Solution steps

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

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

\int 3 x d x = \frac{3 x ^{2}}{2}

\int 2 d x = 2 x

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

Add a constant to the solution

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

Graph

Popular Examples

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\int \frac{12 x}{( x ^{2} - 1 ) ^{2}} d x

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

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integral of (x+1)/(x^2+2x)ln(x^2+2x)

\int \frac{x + 1}{x ^{2} + 2 x} ln (x^{2} + 2 x) d x

Frequently Asked Questions (FAQ)

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