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Popular >

integral from-5 to 5 of |x^2-16|

Solution

\int_{- 5}^{5} x^{2} - 16 d x

Solution

94

Solution steps

\int_{- 5}^{5} x^{2} - 16 d x

Eliminate Absolutes

= \int_{- 5}^{- 4} x^{2} - 16 d x + \int_{- 4}^{4} - x^{2} + 16 d x + \int_{4}^{5} x^{2} - 16 d x

\int_{- 5}^{- 4} x^{2} - 16 d x = \frac{13}{3}

\int_{- 4}^{4} - x^{2} + 16 d x = \frac{256}{3}

\int_{4}^{5} x^{2} - 16 d x = \frac{13}{3}

= \frac{13}{3} + \frac{256}{3} + \frac{13}{3}

Simplify

\frac{13}{3} + \frac{256}{3} + \frac{13}{3} : 94

= 94

Graph

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\int_{- 11}^{11} 121 - x^{2} d x

integral from-1 to 1 of 1/(1+sin(x))

\int_{- 1}^{1} \frac{1}{1 + sin ( x )} d x

Frequently Asked Questions (FAQ)

What is the integral from-5 to 5 of |x^2-16| ?
The integral from-5 to 5 of |x^2-16| is 94