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Popular >

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

Solution

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

Solution

- \frac{45}{2}

+1

Decimal Notation

- 22.5

Solution steps

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

\int_{0}^{3} x^{2} d x = 9

\int_{0}^{3} 3 x d x = \frac{27}{2}

= - 9 - \frac{27}{2}

Simplify

- 9 - \frac{27}{2} : - \frac{45}{2}

= - \frac{45}{2}

Popular Examples

integral from-1 to 4 of 1

\int_{- 1}^{4} 1 d x

integral from 0 to 6 of 2x

\int_{0}^{6} 2 x d x

integral from 2 to 7 of 1

\int_{2}^{7} 1 d x

integral from-2 to 1 of x/(sqrt(2-x))

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

integral from 0 to 300 of 2x

\int_{0}^{300} 2 x d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of-x^2-3x ?
The integral from 0 to 3 of-x^2-3x is -45/2