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Popular >

integral from-1 to 3 of |3x^2-6x|

Solution

\int_{- 1}^{3} 3 x^{2} - 6 x d x

Solution

12

Solution steps

\int_{- 1}^{3} 3 x^{2} - 6 x d x

Eliminate Absolutes

= \int_{- 1}^{0} 3 x^{2} - 6 x d x + \int_{0}^{2} - 3 x^{2} + 6 x d x + \int_{2}^{3} 3 x^{2} - 6 x d x

\int_{- 1}^{0} 3 x^{2} - 6 x d x = 4

\int_{0}^{2} - 3 x^{2} + 6 x d x = 4

\int_{2}^{3} 3 x^{2} - 6 x d x = 4

= 4 + 4 + 4

Simplify

= 12

Graph

Popular Examples

integral from 0 to 3 of (x^2)/3

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

integral from 1 to 0 of 1/x

\int_{1}^{0} \frac{1}{x} d x

integral from 1 to 3 of 3^{5x}

\int_{1}^{3} 3^{5 x} d x

integral from 0 to pi of 1+sin(t)cos(t)

\int_{0}^{π} 1 + sin (t) cos (t) d t

integral from-1 to 0 of-x^2

\int_{- 1}^{0} - x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of |3x^2-6x| ?
The integral from-1 to 3 of |3x^2-6x| is 12