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Popular >

integral from-2 to 2 of (7-|x|^3)

Solution

\int_{- 2}^{2} (7 - ∣ x ∣^{3}) d x

Solution

20

Solution steps

\int_{- 2}^{2} 7 - ∣ x ∣^{3} d x

Eliminate Absolutes

= \int_{- 2}^{0} 7 - (- x)^{3} d x + \int_{0}^{2} 7 - x^{3} d x

\int_{- 2}^{0} 7 - (- x)^{3} d x = 10

\int_{0}^{2} 7 - x^{3} d x = 10

= 10 + 10

Simplify

= 20

Graph

Popular Examples

integral from-6 to 0 of (sqrt(36-x^2))

\int_{- 6}^{0} (36 - x^{2}) d x

integral from 1 to 4 of (x/2-2/x)

\int_{1}^{4} (\frac{x}{2} - \frac{2}{x}) d x

integral from 0 to 12 of 9/(sqrt(12-x))

\int_{0}^{12} \frac{9}{12 - x} d x

integral from 0 to 1 of (e^x+x^e)

\int_{0}^{1} (e^{x} + x^{e}) d x

integral from-5 to 5 of (5-|x|)

\int_{- 5}^{5} (5 - ∣ x ∣) d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (7-|x|^3) ?
The integral from-2 to 2 of (7-|x|^3) is 20