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Popular Calculus >

integral of 2|x|

Solution

\int 2 ∣ x ∣ d x

Solution

x ∣ x ∣ + C

Solution steps

\int 2 ∣ x ∣ d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int ∣ x ∣ d x

Use the common integral:

\int ∣ x ∣ d x = \frac{x ∣ x ∣}{2}

= 2 \cdot \frac{x ∣ x ∣}{2}

Simplify

2 \cdot \frac{x ∣ x ∣}{2} : x ∣ x ∣

= x ∣ x ∣

Add a constant to the solution

= x ∣ x ∣ + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 2|x| ?
The integral of 2|x| is x|x|+C