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Popular Calculus >

integral from-2 to 3 of (x^3-4x)

Solution

\int_{- 2}^{3} (x^{3} - 4 x) d x

Solution

\frac{25}{4}

+1

Decimal

6.25

Solution steps

\int_{- 2}^{3} x^{3} - 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_{- 2}^{3} x^{3} d x - \int_{- 2}^{3} 4 x d x

\int_{- 2}^{3} x^{3} d x = \frac{65}{4}

\int_{- 2}^{3} 4 x d x = 10

= \frac{65}{4} - 10

Simplify

\frac{65}{4} - 10 : \frac{25}{4}

= \frac{25}{4}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of (x^3-4x) ?
The integral from-2 to 3 of (x^3-4x) is 25/4