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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 Notation

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}

Popular Examples

integral from 0 to 3 of 3/(x+4)

\int_{0}^{3} \frac{3}{x + 4} d x

integral from 1 to e of 1/x ln(x)

\int_{1}^{e} \frac{1}{x} ln (x) d x

integral from 0 to 5 of e^{-x^2}

\int_{0}^{5} e^{- x^{2}} d x

integral from-3 to 1 of (e^{x+3})

\int_{- 3}^{1} (e^{x + 3}) d x

integral from-1 to 1 of 2x^2-3

\int_{- 1}^{1} 2 x^{2} - 3 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