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Popular Calculus >

integral from-2 to 0 of (6x^2-8x)

Solution

\int_{- 2}^{0} (6 x^{2} - 8 x) d x

Solution

32

Solution steps

\int_{- 2}^{0} 6 x^{2} - 8 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_{- 2}^{0} 6 x^{2} d x - \int_{- 2}^{0} 8 x d x

\int_{- 2}^{0} 6 x^{2} d x = 16

\int_{- 2}^{0} 8 x d x = - 16

= 16 - (- 16)

Simplify

= 32

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 0 of (6x^2-8x) ?
The integral from-2 to 0 of (6x^2-8x) is 32