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Popular >

integral from-2 to 2 of (3-|x|)

Solution

\int_{- 2}^{2} (3 - ∣ x ∣) d x

Solution

8

Solution steps

\int_{- 2}^{2} 3 - ∣ x ∣ d x

Eliminate Absolutes

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

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

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

= 4 + 4

Simplify

= 8

Graph

Popular Examples

integral from 1 to 2 of (x^5+7x^2)/(x^2)

\int_{1}^{2} \frac{x ^{5} + 7 x ^{2}}{x ^{2}} d x

integral from pi to x of (cos(y))/y

\int_{π}^{x} \frac{cos ( y )}{y} d y

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

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

integral from 1 to 2 of x/(x+1)

\int_{1}^{2} \frac{x}{x + 1} d x

integral from 0 to pi/4 of tan(2x)

\int_{0}^{\frac{π}{4}} tan (2 x) d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (3-|x|) ?
The integral from-2 to 2 of (3-|x|) is 8