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Popular Calculus >

integral from 0 to 5 of x^3-1

Solution

\int_{0}^{5} x^{3} - 1 d x

Solution

\frac{605}{4}

+1

Decimal

151.25

Solution steps

\int_{0}^{5} x^{3} - 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_{0}^{5} x^{3} d x - \int_{0}^{5} 1 d x

\int_{0}^{5} x^{3} d x = \frac{625}{4}

\int_{0}^{5} 1 d x = 5

= \frac{625}{4} - 5

Simplify

\frac{625}{4} - 5 : \frac{605}{4}

= \frac{605}{4}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of x^3-1 ?
The integral from 0 to 5 of x^3-1 is 605/4