What is the integral from 3 to 10 of 9|u^2-25| ?

The integral from 3 to 10 of 9|u^2-25| is 1656

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integral from 3 to 10 of 9|u^2-25|

\int_{3}^{10} 9 u^{2} - 25 d u

1656

Solution steps

\int_{3}^{10} 9 u^{2} - 25 d u

Eliminate Absolutes

= \int_{3}^{5} 9 (- u^{2} + 25) d u + \int_{5}^{10} 9 (u^{2} - 25) d u

\int_{3}^{5} 9 (- u^{2} + 25) d u = 156

\int_{5}^{10} 9 (u^{2} - 25) d u = 1500

= 156 + 1500

Simplify

= 1656

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\int_{0}^{2} 0.5 x^{2} d x

What is the integral from 3 to 10 of 9|u^2-25| ?
The integral from 3 to 10 of 9|u^2-25| is 1656