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Popular >

integral from-3 to 3 of 2-|x|

Solution

\int_{- 3}^{3} 2 - ∣ x ∣ d x

Solution

3

Solution steps

\int_{- 3}^{3} 2 - ∣ x ∣ d x

Eliminate Absolutes

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

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

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

= \frac{3}{2} + \frac{3}{2}

Simplify

\frac{3}{2} + \frac{3}{2} : 3

= 3

Popular Examples

integral of (26)/((x-1)(x^2+25))

\int \frac{26}{( x - 1 ) ( x ^{2} + 25 )} d x

integral of 4x^3-1/(1-x)

\int 4 x^{3} - \frac{1}{1 - x} d x

integral of x/((4-x^2)^{3/2)}

\int \frac{x}{( 4 - x ^{2} ) ^{\frac{3}{2}}} d x

integral of 5x^{1/4}-7x^{3/4}

\int 5 x^{\frac{1}{4}} - 7 x^{\frac{3}{4}} d x

tangent of f(x)= 7/(sqrt(x))tangent of

f (x) = \frac{7}{x}

Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of 2-|x| ?
The integral from-3 to 3 of 2-|x| is 3