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Popular >

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

Solution

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

Solution

\frac{12}{5}

+1

Decimal

2.4

Solution steps

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

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

\int_{0}^{2} 2 x d x = 4

= \frac{32}{5} - 4

Simplify

\frac{32}{5} - 4 : \frac{12}{5}

= \frac{12}{5}

Graph

Popular Examples

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\int_{0}^{π} tan (\frac{x}{6}) d x

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

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\int_{2}^{7} ln (t + 8) d t

integral from 3 to 7 of 1/(2x-5)

\int_{3}^{7} \frac{1}{2 x - 5} d x

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\int_{1}^{3} 1 + (2 x)^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of x^4-2x ?
The integral from 0 to 2 of x^4-2x is 12/5