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Popular >

integral from-2 to 2 of |x^3-4x|

Solution

\int_{- 2}^{2} x^{3} - 4 x d x

Solution

8

Solution steps

\int_{- 2}^{2} x^{3} - 4 x d x

Eliminate Absolutes

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

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

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

= 4 + 4

Simplify

= 8

Popular Examples

integral from 0 to 2pi of (cos^2(x))

\int_{0}^{2 π} (cos^{2} (x)) d x

integral from 4 to 7 of-9log_{3}(x)

\int_{4}^{7} - 9 lo g_{3} (x) d x

integral from 2 to 4 of 3^{2x}

\int_{2}^{4} 3^{2 x} d x

integral from 1 to 5 of (x+4)

\int_{1}^{5} (x + 4) d x

integral from 0 to 2pi of-sin(x)

\int_{0}^{2 π} - sin (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of |x^3-4x| ?
The integral from-2 to 2 of |x^3-4x| is 8