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Popular >

integral from-6 to 4 of-x^2-3x

Solution

\int_{- 6}^{4} - x^{2} - 3 x d x

Solution

- \frac{190}{3}

+1

Decimal Notation

- 63.33333 \dots

Solution steps

\int_{- 6}^{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_{- 6}^{4} x^{2} d x - \int_{- 6}^{4} 3 x d x

\int_{- 6}^{4} x^{2} d x = \frac{280}{3}

\int_{- 6}^{4} 3 x d x = - 30

= - \frac{280}{3} - (- 30)

Simplify

- \frac{280}{3} - (- 30) : - \frac{190}{3}

= - \frac{190}{3}

Popular Examples

integral from 1 to 32 of x^{-8/5}

\int_{1}^{32} x^{- \frac{8}{5}} d x

integral from 0 to 1 of e^{1-x}

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

integral from 0 to 1/2 of xe^{2x}

\int_{0}^{\frac{1}{2}} x e^{2 x} d x

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

\int_{0}^{1} x^{2} (2 - 2 x) d x

integral from 0 to 2pi of 3cos^2(x)

\int_{0}^{2 π} 3 cos^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-6 to 4 of-x^2-3x ?
The integral from-6 to 4 of-x^2-3x is -190/3