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Popular >

integral from 0 to 7 of |x^2-4|

Solution

\int_{0}^{7} x^{2} - 4 d x

Solution

97

Solution steps

\int_{0}^{7} x^{2} - 4 d x

Eliminate Absolutes

= \int_{0}^{2} - x^{2} + 4 d x + \int_{2}^{7} x^{2} - 4 d x

\int_{0}^{2} - x^{2} + 4 d x = \frac{16}{3}

\int_{2}^{7} x^{2} - 4 d x = \frac{275}{3}

= \frac{16}{3} + \frac{275}{3}

Simplify

\frac{16}{3} + \frac{275}{3} : 97

= 97

Graph

Popular Examples

integral from 0 to 1 of (x^3+x^2)

\int_{0}^{1} (x^{3} + x^{2}) d x

integral from 1 to 2 of x/(x^2+3)

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

integral from 0 to 4 of 8x-32

\int_{0}^{4} 8 x - 32 d x

integral from-pi to pi of-sin(x)

\int_{- π}^{π} - sin (x) d x

integral from 0 to 8 of (-x^2+8x)

\int_{0}^{8} (- x^{2} + 8 x) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 7 of |x^2-4| ?
The integral from 0 to 7 of |x^2-4| is 97