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Popular Calculus >

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

Solution

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

Solution

\frac{70}{3}

+1

Decimal

23.33333 \dots

Solution steps

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

\int_{- 3}^{- 1} 2 x^{2} d x = \frac{52}{3}

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

= \frac{52}{3} + 6

Simplify

\frac{52}{3} + 6 : \frac{70}{3}

= \frac{70}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-3 to-1 of 2x^2+3 ?
The integral from-3 to-1 of 2x^2+3 is 70/3