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Popular >

integral from-7 to 3 of |x|

Solution

\int_{- 7}^{3} ∣ x ∣ d x

Solution

29

Solution steps

\int_{- 7}^{3} ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 7}^{0} - x d x + \int_{0}^{3} x d x

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

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

= \frac{49}{2} + \frac{9}{2}

Simplify

\frac{49}{2} + \frac{9}{2} : 29

= 29

Popular Examples

integral from 0 to 1 of arcsin(sqrt(x))

\int_{0}^{1} arcsin (x) d x

integral from 0 to 1 of 4pix

\int_{0}^{1} 4 π x d x

integral from 3y to 3 of e^{x^2}

\int_{3 y}^{3} e^{x^{2}} d x

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

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

integral from 3 to 7 of 4x-16

\int_{3}^{7} 4 x - 16 d x

Frequently Asked Questions (FAQ)

What is the integral from-7 to 3 of |x| ?
The integral from-7 to 3 of |x| is 29