What is the integral from-2 to 1 of (8x^3-3x^2) ?

The integral from-2 to 1 of (8x^3-3x^2) is -39

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integral from-2 to 1 of (8x^3-3x^2)

\int_{- 2}^{1} (8 x^{3} - 3 x^{2}) d x

- 39

Solution steps

\int_{- 2}^{1} 8 x^{3} - 3 x^{2} 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}^{1} 8 x^{3} d x - \int_{- 2}^{1} 3 x^{2} d x

\int_{- 2}^{1} 8 x^{3} d x = - 30

\int_{- 2}^{1} 3 x^{2} d x = 9

= - 30 - 9

Simplify

= - 39

What is the integral from-2 to 1 of (8x^3-3x^2) ?
The integral from-2 to 1 of (8x^3-3x^2) is -39