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Popular >

integral from 0 to 3 of x^3-4x

Solution

\int_{0}^{3} x^{3} - 4 x d x

Solution

\frac{9}{4}

+1

Decimal

2.25

Solution steps

\int_{0}^{3} 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_{0}^{3} x^{3} d x - \int_{0}^{3} 4 x d x

\int_{0}^{3} x^{3} d x = \frac{81}{4}

\int_{0}^{3} 4 x d x = 18

= \frac{81}{4} - 18

Simplify

\frac{81}{4} - 18 : \frac{9}{4}

= \frac{9}{4}

Graph

Popular Examples

integral from 0 to ln(3) of 3e^{3x}

\int_{0}^{l n (3)} 3 e^{3 x} d x

integral from 0 to 1 of y(e^y-1)

\int_{0}^{1} y (e^{y} - 1) d y

integral from 0 to 4 of-x^2+2x

\int_{0}^{4} - x^{2} + 2 x d x

integral from 0 to 1 of (x^2+4)

\int_{0}^{1} (x^{2} + 4) d x

integral from 0 to 1 of sin(n*pi*x)

\int_{0}^{1} sin (n \cdot π \cdot x) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of x^3-4x ?
The integral from 0 to 3 of x^3-4x is 9/4