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Popular Calculus >

integral from-2 to 0 of 7x^2+7x

Solution

\int_{- 2}^{0} 7 x^{2} + 7 x d x

Solution

\frac{14}{3}

+1

Decimal

4.66666 \dots

Solution steps

\int_{- 2}^{0} 7 x^{2} + 7 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} 7 x^{2} d x + \int_{- 2}^{0} 7 x d x

\int_{- 2}^{0} 7 x^{2} d x = \frac{56}{3}

\int_{- 2}^{0} 7 x d x = - 14

= \frac{56}{3} - 14

Simplify

\frac{56}{3} - 14 : \frac{14}{3}

= \frac{14}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 0 of 7x^2+7x ?
The integral from-2 to 0 of 7x^2+7x is 14/3