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Popular >

integral of 9-|x|

Solution

\int 9 - ∣ x ∣ d x

Solution

9 x - \frac{x ∣ x ∣}{2} + C

Solution steps

\int 9 - ∣ x ∣ d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 9 d x - \int ∣ x ∣ d x

\int 9 d x = 9 x

\int ∣ x ∣ d x = \frac{x ∣ x ∣}{2}

= 9 x - \frac{x ∣ x ∣}{2}

Add a constant to the solution

= 9 x - \frac{x ∣ x ∣}{2} + C

Popular Examples

integral of (2^0-3^0)^pi

\int (2^{0} - 3^{0})^{π} d x

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\int (x^{\frac{3}{2}} + 8)^{7} x d x

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\int x sin (1 - 3 x) d x

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

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\int (- 3 x^{6} + 4 x^{5} + 4 x^{4} + 3) d x

Frequently Asked Questions (FAQ)

What is the integral of 9-|x| ?
The integral of 9-|x| is 9x-(x|x|)/2+C