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Popular >

integral from-5 to-3 of-x^2-3x

Solution

\int_{- 5}^{- 3} - x^{2} - 3 x d x

Solution

- \frac{26}{3}

+1

Solution steps

\int_{- 5}^{- 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_{- 5}^{- 3} x^{2} d x - \int_{- 5}^{- 3} 3 x d x

\int_{- 5}^{- 3} x^{2} d x = \frac{98}{3}

\int_{- 5}^{- 3} 3 x d x = - 24

= - \frac{98}{3} - (- 24)

Simplify

- \frac{98}{3} - (- 24) : - \frac{26}{3}

= - \frac{26}{3}

Popular Examples

integral from 0 to 4 of (3x+4)

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

integral from 0 to sqrt(2 of)2x-x^3

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

integral from 0 to 1 of x(e^x-1)

\int_{0}^{1} x (e^{x} - 1) d x

integral from 2 to 4 of 3^{5x}

\int_{2}^{4} 3^{5 x} d x

integral from 0 to 5 of 6x

\int_{0}^{5} 6 x d x

Frequently Asked Questions (FAQ)

What is the integral from-5 to-3 of-x^2-3x ?
The integral from-5 to-3 of-x^2-3x is -26/3