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Popular >

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

Solution

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

Solution

- \frac{80}{3}

+1

Decimal

- 26.66666 \dots

Solution steps

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

\int_{- 6}^{2} x^{2} d x = \frac{224}{3}

\int_{- 6}^{2} 3 x d x = - 48

= - \frac{224}{3} - (- 48)

Simplify

- \frac{224}{3} - (- 48) : - \frac{80}{3}

= - \frac{80}{3}

Graph

Popular Examples

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

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

integral from 0 to 2 of (4x)

\int_{0}^{2} (4 x) d x

integral from-1 to 1 of |x^3|

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

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

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

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

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

Frequently Asked Questions (FAQ)

What is the integral from-6 to 2 of-x^2-3x ?
The integral from-6 to 2 of-x^2-3x is -80/3