What is the integral from-3 to 4 of-x^2+x+12 ?

The integral from-3 to 4 of-x^2+x+12 is 343/6

Popular >

integral from-3 to 4 of-x^2+x+12

\int_{- 3}^{4} - x^{2} + x + 12 d x

\frac{343}{6}

Solution steps

\int_{- 3}^{4} - x^{2} + 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_{- 3}^{4} x^{2} d x + \int_{- 3}^{4} x d x + \int_{- 3}^{4} 12 d x

\int_{- 3}^{4} x^{2} d x = \frac{91}{3}

\int_{- 3}^{4} x d x = \frac{7}{2}

\int_{- 3}^{4} 12 d x = 84

= - \frac{91}{3} + \frac{7}{2} + 84

Simplify

- \frac{91}{3} + \frac{7}{2} + 84 : \frac{343}{6}

= \frac{343}{6}

\int_{- 2}^{3} (3 x^{2} - 4 x) d x

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

\int_{- 2}^{2} (x^{2} - 5) d x

\int_{1}^{0} x ln (x) d x

\int_{- 1}^{1} z d z

What is the integral from-3 to 4 of-x^2+x+12 ?
The integral from-3 to 4 of-x^2+x+12 is 343/6