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Popular >

integral from-3 to 4 of |x|

Solution

\int_{- 3}^{4} ∣ x ∣ d x

Solution

\frac{25}{2}

+1

Decimal Notation

12.5

Solution steps

\int_{- 3}^{4} ∣ x ∣ d x

Eliminate Absolutes

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

\int_{- 3}^{0} - x d x = \frac{9}{2}

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

= \frac{9}{2} + 8

Simplify

\frac{9}{2} + 8 : \frac{25}{2}

= \frac{25}{2}

Popular Examples

integral of 11-e^{3x-6}-10

\int 11 - e^{3 x - 6} - 10 d x

derivative of x(x^5+5^3)

\frac{d}{d x} (x (x^{5} + 5)^{3})

integral from 0 to 6 of 1/(sqrt(36+t^2))

\int_{0}^{6} \frac{1}{36 + t ^{2}} d t

integral of (x+2)/x

\int \frac{x + 2}{x} d x

limit as x approaches-1 of 2x^2-4

x \to - 1 lim (2 x^{2} - 4)

Frequently Asked Questions (FAQ)

What is the integral from-3 to 4 of |x| ?
The integral from-3 to 4 of |x| is 25/2