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Popular Calculus >

integral from 2 to 4 of (x^4-1)

Solution

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

Solution

\frac{982}{5}

+1

Decimal

196.4

Solution steps

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

\int_{2}^{4} x^{4} d x = \frac{992}{5}

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

= \frac{992}{5} - 2

Simplify

\frac{992}{5} - 2 : \frac{982}{5}

= \frac{982}{5}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 2 to 4 of (x^4-1) ?
The integral from 2 to 4 of (x^4-1) is 982/5