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Popular Calculus >

integral from-3 to 3 of (x-|x|)

Solution

\int_{- 3}^{3} (x - ∣ x ∣) d x

Solution

- 9

Solution steps

\int_{- 3}^{3} x - ∣ x ∣ d x

Eliminate Absolutes

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

\int_{- 3}^{0} x - (- x) d x = - 9

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

= - 9 + 0

Simplify

= - 9

Graph

Popular Examples

integral from 20 to 30 of 0.02(30-x)

\int_{20}^{30} 0.02 (30 - x) d x

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

\int_{1 - 9 x}^{1} \frac{u ^{3}}{1 + u ^{2}} d u

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

\int_{- 1}^{1} - x^{2} ∣ x ∣ d x

integral from 0 to 10 of 1/10 x

\int_{0}^{10} \frac{1}{10} x d x

integral from-1 to 1 of (1+x^4tan(x))

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

Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of (x-|x|) ?
The integral from-3 to 3 of (x-|x|) is -9