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Popular >

integral from-4 to 7 of |x|

Solution

\int_{- 4}^{7} ∣ x ∣ d x

Solution

\frac{65}{2}

+1

Solution steps

\int_{- 4}^{7} ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 4}^{0} - x d x + \int_{0}^{7} x d x

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

\int_{0}^{7} x d x = \frac{49}{2}

= 8 + \frac{49}{2}

Simplify

8 + \frac{49}{2} : \frac{65}{2}

= \frac{65}{2}

Popular Examples

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

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

integral from 1 to 16 of sqrt(3/x)

\int_{1}^{16} \frac{3}{x} d x

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

\int_{- 2}^{1} x arctan^{2} (x) d x

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

\int_{1}^{2} \frac{1}{x ( ln ( x ) ) ^{2}} d x

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

\int_{0}^{\frac{π}{4}} tan (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to 7 of |x| ?
The integral from-4 to 7 of |x| is 65/2