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Popular >

integral from-3 to 7 of (|x|)

Solution

\int_{- 3}^{7} (∣ x ∣) d x

Solution

29

Solution steps

\int_{- 3}^{7} ∣ x ∣ d x

Eliminate Absolutes

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

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

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

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

Simplify

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

= 29

Popular Examples

integral from 0 to pi/2 of sin(8x)

\int_{0}^{\frac{π}{2}} sin (8 x) d x

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\int_{0}^{π} 2 cos^{2} (t) d t

integral from 0 to 30 of 82+4sin(x/2)

\int_{0}^{30} 82 + 4 sin (\frac{x}{2}) d x

integral from-1 to 2 of (2-2|x|)

\int_{- 1}^{2} (2 - 2 ∣ x ∣) d x

integral from 0 to 1.5 of (-4x+6)^{3/2}

\int_{0}^{1.5} (- 4 x + 6)^{\frac{3}{2}} d x

Frequently Asked Questions (FAQ)

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