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Popular Calculus >

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

Solution

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

Solution

\frac{8}{5}

+1

Decimal

1.6

Solution steps

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

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

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

= 2 - \frac{2}{5}

Simplify

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

= \frac{8}{5}

Graph

Popular Examples

integral from-1 to 1 of kx^2

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

integral from 0 to 1 of xsqrt(x^2+3)

\int_{0}^{1} x x^{2} + 3 d x

integral from-1 to 1 of t^3

\int_{- 1}^{1} t^{3} d t

integral from 0 to pi+2i of cos(z/2)

\int_{0}^{π + 2 i} cos (\frac{z}{2}) d z

integral from 0 to a of 1/x

\int_{0}^{a} \frac{1}{x} d x

Frequently Asked Questions (FAQ)

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