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Popular >

integral from-7 to 7 of |x|

Solution

\int_{- 7}^{7} ∣ x ∣ d x

Solution

49

Solution steps

\int_{- 7}^{7} ∣ x ∣ d x

Eliminate Absolutes

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

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

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

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

Simplify

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

= 49

Graph

Popular Examples

integral from-2 to 0 of x^2+x

\int_{- 2}^{0} x^{2} + x d x

integral from-5 to 2 of x/((x+6)^{2/3)}

\int_{- 5}^{2} \frac{x}{( x + 6 ) ^{\frac{2}{3}}} d x

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

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

integral from 1 to 5 of (x+2)

\int_{1}^{5} (x + 2) d x

integral from 0 to 2 of z^2ln(z)

\int_{0}^{2} z^{2} ln (z) d z

Frequently Asked Questions (FAQ)

What is the integral from-7 to 7 of |x| ?
The integral from-7 to 7 of |x| is 49