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Popular >

integral from-7 to 5 of |x|

Solution

\int_{- 7}^{5} ∣ x ∣ d x

Solution

37

Solution steps

\int_{- 7}^{5} ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 7}^{0} - x d x + \int_{0}^{5} x d x

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

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

= \frac{49}{2} + \frac{25}{2}

Simplify

\frac{49}{2} + \frac{25}{2} : 37

= 37

Graph

Popular Examples

integral from 0 to 4 of sqrt(x^2+9)

\int_{0}^{4} x^{2} + 9 d x

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

\int_{2}^{3} \frac{2 x}{( x ^{2} + 1 ) ^{2}} d x

integral from 1 to x^3 of sin(t)

\int_{1}^{x^{3}} sin (t) d t

integral from 1 to 2 of (sin(x))/x

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

integral from 1 to 2 of y/2

\int_{1}^{2} \frac{y}{2} d y

Frequently Asked Questions (FAQ)

What is the integral from-7 to 5 of |x| ?
The integral from-7 to 5 of |x| is 37