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Popular >

integral from 0 to 2 of 8x-x^4

Solution

\int_{0}^{2} 8 x - x^{4} d x

Solution

\frac{48}{5}

+1

Decimal Notation

9.6

Solution steps

\int_{0}^{2} 8 x - 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_{0}^{2} 8 x d x - \int_{0}^{2} x^{4} d x

\int_{0}^{2} 8 x d x = 16

\int_{0}^{2} x^{4} d x = \frac{32}{5}

= 16 - \frac{32}{5}

Simplify

16 - \frac{32}{5} : \frac{48}{5}

= \frac{48}{5}

Popular Examples

integral from 2 to 4 of (2x+3)

\int_{2}^{4} (2 x + 3) d x

integral from 0 to 1 of xarccot(x)

\int_{0}^{1} x arccot (x) d x

integral from 0 to 6 of (x+1)

\int_{0}^{6} (x + 1) d x

integral from-pi to pi of t^2cos(nt)

\int_{- π}^{π} t^{2} cos (n t) d t

integral from 1 to 2 of x/y+y/x

\int_{1}^{2} \frac{x}{y} + \frac{y}{x} d y

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of 8x-x^4 ?
The integral from 0 to 2 of 8x-x^4 is 48/5