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Popular >

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

Solution

\int_{- 1}^{2} (x - 2 ∣ x ∣) d x

Solution

- \frac{7}{2}

+1

Decimal Notation

- 3.5

Solution steps

\int_{- 1}^{2} x - 2 ∣ x ∣ d x

Eliminate Absolutes

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

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

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

= - \frac{3}{2} - 2

Simplify

- \frac{3}{2} - 2 : - \frac{7}{2}

= - \frac{7}{2}

Popular Examples

integral of (3x^2+8)/(x^3+8x)

\int \frac{3 x ^{2} + 8}{x ^{3} + 8 x} d x

integral of (1/x+2y^2x)

\int (\frac{1}{x} + 2 y^{2} x) d x

derivative of y=sqrt(9-x^2)derivative of

y = 9 - x^{2}

integral of 18x^2

\int 18 x^{2} d x

limit as h approaches 0 of 8

h \to 0 lim (8)

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of (x-2|x|) ?
The integral from-1 to 2 of (x-2|x|) is -7/2