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Popular >

integral from-1 to 2 of x^3-6x

Solution

\int_{- 1}^{2} x^{3} - 6 x d x

Solution

- \frac{21}{4}

+1

Decimal

- 5.25

Solution steps

\int_{- 1}^{2} x^{3} - 6 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^{3} d x - \int_{- 1}^{2} 6 x d x

\int_{- 1}^{2} x^{3} d x = \frac{15}{4}

\int_{- 1}^{2} 6 x d x = 9

= \frac{15}{4} - 9

Simplify

\frac{15}{4} - 9 : - \frac{21}{4}

= - \frac{21}{4}

Graph

Popular Examples

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\int_{0}^{t^{6}} u^{5} d u

integral from-1 to 3 of (6x^3+3x^2-7x)

\int_{- 1}^{3} (6 x^{3} + 3 x^{2} - 7 x) d x

integral from 0 to 6 of (x^2+3)

\int_{0}^{6} (x^{2} + 3) d x

integral from 0 to 2 of (2x-9)(4x^2+3)

\int_{0}^{2} (2 x - 9) (4 x^{2} + 3) d x

integral from 0 to 1 of xcos(wx)

\int_{0}^{1} x cos (w x) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of x^3-6x ?
The integral from-1 to 2 of x^3-6x is -21/4