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Popular Calculus >

integral from 3 to 5 of 2x^2-2

Solution

\int_{3}^{5} 2 x^{2} - 2 d x

Solution

\frac{184}{3}

+1

Decimal

61.33333 \dots

Solution steps

\int_{3}^{5} 2 x^{2} - 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_{3}^{5} 2 x^{2} d x - \int_{3}^{5} 2 d x

\int_{3}^{5} 2 x^{2} d x = \frac{196}{3}

\int_{3}^{5} 2 d x = 4

= \frac{196}{3} - 4

Simplify

\frac{196}{3} - 4 : \frac{184}{3}

= \frac{184}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 3 to 5 of 2x^2-2 ?
The integral from 3 to 5 of 2x^2-2 is 184/3