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Popular Calculus >

integral from-3 to 1 of 6x^2+2x

Solution

\int_{- 3}^{1} 6 x^{2} + 2 x d x

Solution

48

Solution steps

\int_{- 3}^{1} 6 x^{2} + 2 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_{- 3}^{1} 6 x^{2} d x + \int_{- 3}^{1} 2 x d x

\int_{- 3}^{1} 6 x^{2} d x = 56

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

= 56 - 8

Simplify

= 48

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-3 to 1 of 6x^2+2x ?
The integral from-3 to 1 of 6x^2+2x is 48