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Popular >

integral from-1 to 1 of x^4-1

Solution

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

Solution

- \frac{8}{5}

+1

Decimal Notation

- 1.6

Solution steps

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

\int_{- 1}^{1} x^{4} d x = \frac{2}{5}

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

= \frac{2}{5} - 2

Simplify

\frac{2}{5} - 2 : - \frac{8}{5}

= - \frac{8}{5}

Popular Examples

integral from 4x to 4 of e^{-y^2}

\int_{4 x}^{4} e^{- y^{2}} d y

integral from 3 to 3.5 of 2x^2

\int_{3}^{3.5} 2 x^{2} d x

integral from-pi to 0 of-picos(nx)

\int_{- π}^{0} - π cos (n x) d x

integral from 0 to pi of 1-cos(θ)

\int_{0}^{π} 1 - cos (θ) d θ

integral from-pi/4 to pi/2 of cos(x)

\int_{- \frac{π}{4}}^{\frac{π}{2}} cos (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of x^4-1 ?
The integral from-1 to 1 of x^4-1 is -8/5