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Popular >

integral from-2 to 2 of (x^4-1)

Solution

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

Solution

\frac{44}{5}

+1

Decimal Notation

8.8

Solution steps

\int_{- 2}^{2} x^{4} - 1 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_{- 2}^{2} x^{4} d x - \int_{- 2}^{2} 1 d x

\int_{- 2}^{2} x^{4} d x = \frac{64}{5}

\int_{- 2}^{2} 1 d x = 4

= \frac{64}{5} - 4

Simplify

\frac{64}{5} - 4 : \frac{44}{5}

= \frac{44}{5}

Popular Examples

integral from 0 to 2 of (2^x-1-(3x)/2)

\int_{0}^{2} (2^{x} - 1 - \frac{3 x}{2}) d x

integral from 0 to 1 of ln^3(x)

\int_{0}^{1} ln^{3} (x) d x

integral from 0 to 3 of (3x-5)

\int_{0}^{3} (3 x - 5) d x

integral from 1 to 4 of 2^{4x}

\int_{1}^{4} 2^{4 x} d x

integral from 0 to 1/(xy) of ln(y)

\int_{0}^{\frac{1}{x y}} ln (y) d y

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (x^4-1) ?
The integral from-2 to 2 of (x^4-1) is 44/5