What is the integral from 2 to 6 of-x^2-8x-12 ?

The integral from 2 to 6 of-x^2-8x-12 is -736/3

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integral from 2 to 6 of-x^2-8x-12

\int_{2}^{6} - x^{2} - 8 x - 12 d x

- \frac{736}{3}

Decimal

- 245.33333 \dots

Solution steps

\int_{2}^{6} - x^{2} - 8 x - 12 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_{2}^{6} x^{2} d x - \int_{2}^{6} 8 x d x - \int_{2}^{6} 12 d x

\int_{2}^{6} x^{2} d x = \frac{208}{3}

\int_{2}^{6} 8 x d x = 128

\int_{2}^{6} 12 d x = 48

= - \frac{208}{3} - 128 - 48

Simplify

- \frac{208}{3} - 128 - 48 : - \frac{736}{3}

= - \frac{736}{3}

\int_{1}^{3} (x - 1)^{5} d x

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

\int_{0}^{1} \frac{1}{m x + 1} d x

\int_{x}^{5} \frac{6 ( y - x )}{125} d y

\int_{0}^{2} \frac{2 x}{( x ^{2} + 2 ) ^{2}} d x

What is the integral from 2 to 6 of-x^2-8x-12 ?
The integral from 2 to 6 of-x^2-8x-12 is -736/3