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Popular >

integral from 0 to 5 of (x^3-1)

Solution

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

Solution

\frac{605}{4}

+1

Decimal Notation

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}

Popular Examples

integral from 1 to infinity of 4/(x^3)

\int_{1}^{\infty} \frac{4}{x ^{3}} d x

integral from 0 to 2pi of θ

\int_{0}^{2 π} θ d θ

integral from 2 to 5 of 6x^2+2x+1

\int_{2}^{5} 6 x^{2} + 2 x + 1 d x

integral from-1 to 1 of t

\int_{- 1}^{1} t d t

integral from-3 to 0 of (-x^2-3x)

\int_{- 3}^{0} (- x^{2} - 3 x) d x

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