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Popular >

integral from-1 to 2 of (x^3-4x)

Solution

\int_{- 1}^{2} (x^{3} - 4 x) d x

Solution

- \frac{9}{4}

+1

Decimal Notation

- 2.25

Solution steps

\int_{- 1}^{2} 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_{- 1}^{2} x^{3} d x - \int_{- 1}^{2} 4 x d x

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

\int_{- 1}^{2} 4 x d x = 6

= \frac{15}{4} - 6

Simplify

\frac{15}{4} - 6 : - \frac{9}{4}

= - \frac{9}{4}

Popular Examples

integral from 0 to 10 of sqrt(100-x^2)

\int_{0}^{10} 100 - x^{2} d x

integral from 0 to 1 of cos(sqrt(x))

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

integral from 1 to e of (2ln(x))/x

\int_{1}^{e} \frac{2 ln ( x )}{x} d x

integral from 0 to cot(x) of 1/(1+t^2)

\int_{0}^{c o t (x)} \frac{1}{1 + t ^{2}} d t

integral from 0 to 1/2 of x^3arctan(x)

\int_{0}^{\frac{1}{2}} x^{3} arctan (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of (x^3-4x) ?
The integral from-1 to 2 of (x^3-4x) is -9/4