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Popular >

integral of-x^3+4x

Solution

\int - x^{3} + 4 x d x

Solution

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

Solution steps

\int - x^{3} + 4 x 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 4 x d x

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

\int 4 x d x = 2 x^{2}

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

Add a constant to the solution

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

Graph

Popular Examples

integral of y/(e^{3y^2)}

\int \frac{y}{e ^{3 y^{2}}} d y

integral of 2x^3sin(5x)

\int 2 x^{3} sin (5 x) d x

integral of 10cos^2((5x)/2)

\int 10 cos^{2} (\frac{5 x}{2}) d x

integral of (x^2+46)/(x^2+49)

\int \frac{x ^{2} + 46}{x ^{2} + 49} d x

integral of (ln^7(x))/x

\int \frac{ln ^{7} ( x )}{x} d x

Frequently Asked Questions (FAQ)

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