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Popular >

integral from-5 to 5 of (4-|x|)

Solution

\int_{- 5}^{5} (4 - ∣ x ∣) d x

Solution

15

Solution steps

\int_{- 5}^{5} 4 - ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 5}^{0} 4 - (- x) d x + \int_{0}^{5} 4 - x d x

\int_{- 5}^{0} 4 - (- x) d x = \frac{15}{2}

\int_{0}^{5} 4 - x d x = \frac{15}{2}

= \frac{15}{2} + \frac{15}{2}

Simplify

\frac{15}{2} + \frac{15}{2} : 15

= 15

Popular Examples

derivative of y=8csc(2x^4-7x+3)derivative of

y = 8 csc (2 x^{4} - 7 x + 3)

derivative of sqrt(5)x^5{f}(x)

\frac{d}{d x} (5 x^{5} f (x))

y^'=e^{t+y},y(0)=0

y^{^{'}} = e^{t + y}, y (0) = 0

integral of 5e^{3x+7}

\int 5 e^{3 x + 7} d x

integral from 0 to 5 of (x^2-5x)

\int_{0}^{5} (x^{2} - 5 x) d x

Frequently Asked Questions (FAQ)

What is the integral from-5 to 5 of (4-|x|) ?
The integral from-5 to 5 of (4-|x|) is 15