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Popular Calculus >

integral from-2 to 3 of |4x(x-1)|

Solution

\int_{- 2}^{3} ∣ 4 x (x - 1) ∣ d x

Solution

38

Solution steps

\int_{- 2}^{3} ∣ 4 x (x - 1) ∣ d x

Eliminate Absolutes

= \int_{- 2}^{0} 4 x (x - 1) d x + \int_{0}^{1} - 4 x^{2} + 4 x d x + \int_{1}^{3} 4 x (x - 1) d x

\int_{- 2}^{0} 4 x (x - 1) d x = \frac{56}{3}

\int_{0}^{1} - 4 x^{2} + 4 x d x = \frac{2}{3}

\int_{1}^{3} 4 x (x - 1) d x = \frac{56}{3}

= \frac{56}{3} + \frac{2}{3} + \frac{56}{3}

Simplify

\frac{56}{3} + \frac{2}{3} + \frac{56}{3} : 38

= 38

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of |4x(x-1)| ?
The integral from-2 to 3 of |4x(x-1)| is 38