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Popular >

integral from 1 to 2 of x^4-x

Solution

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

Solution

\frac{47}{10}

+1

Decimal

4.7

Solution steps

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

\int_{1}^{2} x^{4} d x = \frac{31}{5}

\int_{1}^{2} x d x = \frac{3}{2}

= \frac{31}{5} - \frac{3}{2}

Simplify

\frac{31}{5} - \frac{3}{2} : \frac{47}{10}

= \frac{47}{10}

Graph

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\int_{0}^{1} x ln ((x^{2} + 1)^{2}) d x

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of x^4-x ?
The integral from 1 to 2 of x^4-x is 47/10