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Popular >

integral from-1 to 5 of (3-|x|)

Solution

\int_{- 1}^{5} (3 - ∣ x ∣) d x

Solution

5

Solution steps

\int_{- 1}^{5} 3 - ∣ x ∣ d x

Eliminate Absolutes

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

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

\int_{0}^{5} 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 0 to 1 of sqrt(8x+1)

\int_{0}^{1} 8 x + 1 d x

integral from-2 to 1 of x-8|x|

\int_{- 2}^{1} x - 8 ∣ x ∣ d x

integral from 0 to 4 of t^2

\int_{0}^{4} t^{2} d t

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

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

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

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

Frequently Asked Questions (FAQ)

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