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Popular >

integral of x^3-3x

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (e^{4-x})^5

\int (e^{4 - x})^{5} d x

integral from-3 to 3 of-2x^2+18

\int_{- 3}^{3} - 2 x^{2} + 18 d x

derivative of 100e^x

\frac{d}{d x} (100 e^{x})

limit as x approaches 0 of (x^2)/(2x^2)

x \to 0 lim (\frac{x ^{2}}{2 x ^{2}})

y^{''}+y=tan(x)

y^{^{''}} + y = tan (x)

Frequently Asked Questions (FAQ)

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