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Popular >

integral of |x|

Solution

\int ∣ x ∣ d x

Solution

\frac{x ∣ x ∣}{2} + C

Solution steps

\int ∣ x ∣ d x

Use the common integral:

\int ∣ x ∣ d x = \frac{x ∣ x ∣}{2}

= \frac{x ∣ x ∣}{2}

Add a constant to the solution

= \frac{x ∣ x ∣}{2} + C

Popular Examples

(\partial)/(\partial x)(a^x-b^x)

\frac{\partial}{\partial x} (a^{x} - b^{x})

integral of t^2e^{-22t}

\int t^{2} e^{- 22 t} d t

integral of sqrt(1-7x^2)

\int 1 - 7 x^{2} d x

sum from n=2 to infinity of 5/(2^n)

n = 2 \sum \infty \frac{5}{2 ^{n}}

laplacetransform te^{-5t}laplace transform

t e^{- 5 t}

Frequently Asked Questions (FAQ)

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