en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

- \frac{119}{6}

+1

Decimal

- 19.83333 \dots

Solution steps

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

\int_{- 4}^{3} x^{2} d x = \frac{91}{3}

\int_{- 4}^{3} 3 x d x = - \frac{21}{2}

= - \frac{91}{3} - (- \frac{21}{2})

Simplify

- \frac{91}{3} - (- \frac{21}{2}) : - \frac{119}{6}

= - \frac{119}{6}

Graph

Popular Examples

integral from 0 to 1 of xsqrt(63x^2+1)

\int_{0}^{1} x 63 x^{2} + 1 d x

integral from 0 to sqrt(1-x^2-y^2 of)xy

\int_{0}^{1 - x^{2} - y^{2}} x y d z

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

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

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

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

integral from 0 to pi of 4sin(x)-3cos(x)

\int_{0}^{π} 4 sin (x) - 3 cos (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to 3 of-x^2-3x ?
The integral from-4 to 3 of-x^2-3x is -119/6