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Popular >

integral from 0 to 2 of |2x^3-2|

Solution

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

Solution

7

Solution steps

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

Eliminate Absolutes

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

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

\int_{1}^{2} 2 x^{3} - 2 d x = \frac{11}{2}

= \frac{3}{2} + \frac{11}{2}

Simplify

\frac{3}{2} + \frac{11}{2} : 7

= 7

Popular Examples

integral from-1 to 4 of 1/(|x|)

\int_{- 1}^{4} \frac{1}{∣ x ∣} d x

integral from 0 to 1 of (1-x^2)^{5/2}

\int_{0}^{1} (1 - x^{2})^{\frac{5}{2}} d x

integral from-2pi to 3pi of cos^2(x)

\int_{- 2 π}^{3 π} cos^{2} (x) d x

integral from 1 to 3 of 1/(x^2-4x+5)

\int_{1}^{3} \frac{1}{x ^{2} - 4 x + 5} d x

integral from 1 to 3 of (9/14 x^2-2)

\int_{1}^{3} (\frac{9}{14} x^{2} - 2) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of |2x^3-2| ?
The integral from 0 to 2 of |2x^3-2| is 7