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Popular >

integral from 0 to 4 of-x^2-3x

Solution

\int_{0}^{4} - x^{2} - 3 x d x

Solution

- \frac{136}{3}

+1

Decimal

- 45.33333 \dots

Solution steps

\int_{0}^{4} - 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}^{4} x^{2} d x - \int_{0}^{4} 3 x d x

\int_{0}^{4} x^{2} d x = \frac{64}{3}

\int_{0}^{4} 3 x d x = 24

= - \frac{64}{3} - 24

Simplify

- \frac{64}{3} - 24 : - \frac{136}{3}

= - \frac{136}{3}

Graph

Popular Examples

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

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

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

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

integral from-6 to 6 of |x^2-25|

\int_{- 6}^{6} x^{2} - 25 d x

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

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

integral from 1 to 7 of x^2-2x-15

\int_{1}^{7} x^{2} - 2 x - 15 d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of-x^2-3x ?
The integral from 0 to 4 of-x^2-3x is -136/3