What is the integral from-5 to 2 of x^2+3x-10 ?

The integral from-5 to 2 of x^2+3x-10 is -343/6

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integral from-5 to 2 of x^2+3x-10

\int_{- 5}^{2} x^{2} + 3 x - 10 d x

- \frac{343}{6}

Solution steps

\int_{- 5}^{2} x^{2} + 3 x - 10 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_{- 5}^{2} x^{2} d x + \int_{- 5}^{2} 3 x d x - \int_{- 5}^{2} 10 d x

\int_{- 5}^{2} x^{2} d x = \frac{133}{3}

\int_{- 5}^{2} 3 x d x = - \frac{63}{2}

\int_{- 5}^{2} 10 d x = 70

= \frac{133}{3} - \frac{63}{2} - 70

Simplify

\frac{133}{3} - \frac{63}{2} - 70 : - \frac{343}{6}

= - \frac{343}{6}

\int_{1}^{4} 5 x^{2} + x d x

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

\int_{0}^{π} x^{2} sin (x) cos (x) d x

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

\int_{- π}^{π} x^{3} d x

What is the integral from-5 to 2 of x^2+3x-10 ?
The integral from-5 to 2 of x^2+3x-10 is -343/6