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Popular Calculus >

integral from 0 to 5 of 50-2x^2

Solution

\int_{0}^{5} 50 - 2 x^{2} d x

Solution

\frac{500}{3}

+1

Decimal

166.66666 \dots

Solution steps

\int_{0}^{5} 50 - 2 x^{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_{0}^{5} 50 d x - \int_{0}^{5} 2 x^{2} d x

\int_{0}^{5} 50 d x = 250

\int_{0}^{5} 2 x^{2} d x = \frac{250}{3}

= 250 - \frac{250}{3}

Simplify

250 - \frac{250}{3} : \frac{500}{3}

= \frac{500}{3}

Graph

Popular Examples

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integral from-1 to 0 of 2x-1

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integral from 2 to 5 of 4^{2x}

integral from 0 to 12 of 2000-12x^2

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of 50-2x^2 ?
The integral from 0 to 5 of 50-2x^2 is 500/3