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Popular >

integral from-4 to 5 of |x|

Solution

\int_{- 4}^{5} ∣ x ∣ d x

Solution

\frac{41}{2}

+1

Decimal Notation

20.5

Solution steps

\int_{- 4}^{5} ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 4}^{0} - x d x + \int_{0}^{5} x d x

\int_{- 4}^{0} - x d x = 8

\int_{0}^{5} x d x = \frac{25}{2}

= 8 + \frac{25}{2}

Simplify

8 + \frac{25}{2} : \frac{41}{2}

= \frac{41}{2}

Popular Examples

integral from 0 to ln(2) of 4e^{2x}

\int_{0}^{l n (2)} 4 e^{2 x} d x

integral from 0 to 2 of x/(sqrt(2x^2+1))

\int_{0}^{2} \frac{x}{2 x ^{2} + 1} d x

integral from pi/4 to pi/2 of cot^3(x)

\int_{\frac{π}{4}}^{\frac{π}{2}} cot^{3} (x) d x

integral from 3 to 4 of sqrt(x)

\int_{3}^{4} x d x

integral from 0 to 1-x of 6x

\int_{0}^{1 - x} 6 x d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to 5 of |x| ?
The integral from-4 to 5 of |x| is 41/2