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Popular >

integral from 0 to 7 of 49-x^2

Solution

\int_{0}^{7} 49 - x^{2} d x

Solution

\frac{686}{3}

+1

Decimal

228.66666 \dots

Solution steps

\int_{0}^{7} 49 - 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}^{7} 49 d x - \int_{0}^{7} x^{2} d x

\int_{0}^{7} 49 d x = 343

\int_{0}^{7} x^{2} d x = \frac{343}{3}

= 343 - \frac{343}{3}

Simplify

343 - \frac{343}{3} : \frac{686}{3}

= \frac{686}{3}

Graph

Popular Examples

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

integral from 0 to 1/2 of 1/(100x^2+25)

\int_{0}^{\frac{1}{2}} \frac{1}{100 x ^{2} + 25} d x

integral from 0 to 1 of 1/(sqrt(x)+1)

\int_{0}^{1} \frac{1}{x + 1} d x

integral from 0 to 1 of sqrt(2x+7)

\int_{0}^{1} 2 x + 7 d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 7 of 49-x^2 ?
The integral from 0 to 7 of 49-x^2 is 686/3