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Popular >

integral from-1 to 1 of (3-|x|)

Solution

\int_{- 1}^{1} (3 - ∣ x ∣) d x

Solution

5

Solution steps

\int_{- 1}^{1} 3 - ∣ x ∣ d x

Eliminate Absolutes

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

\int_{- 1}^{0} 3 - (- x) d x = \frac{5}{2}

\int_{0}^{1} 3 - x d x = \frac{5}{2}

= \frac{5}{2} + \frac{5}{2}

Simplify

\frac{5}{2} + \frac{5}{2} : 5

= 5

Popular Examples

integral from 2 to 4 of-2x+4

\int_{2}^{4} - 2 x + 4 d x

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

\int_{0}^{\frac{π}{4}} (tan (x)) d x

integral from 0 to 12 of e^{-sqrt(x)}

\int_{0}^{12} e^{- x} d x

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

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

integral from 1 to 2 of 4x^3-3x^2+2x

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

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of (3-|x|) ?
The integral from-1 to 1 of (3-|x|) is 5