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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

- 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}

Graph

Popular Examples

integral from 1 to 4 of 2^{3x}

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

integral from-7 to 7 of (t^3)/(11+8t^2)

\int_{- 7}^{7} \frac{t ^{3}}{11 + 8 t ^{2}} d t

integral from-7 to 7 of sqrt(7^2-x^2)

\int_{- 7}^{7} 7^{2} - x^{2} d x

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

\int_{0}^{2} \frac{1}{2 x + 3} d x

integral from 1 to x of (2-x)

\int_{1}^{x} (2 - 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