1. ## Integration question help

What is the value of ∫ |x|dx between the values of x=2 and x=-2?
How do u integrate absolute values? Help please

2. ## Re: Integration question help

Originally Posted by raychippy
What is the value of ∫ |x|dx between the values of x=2 and x=-2?
How do u integrate absolute values? Help please
$\noindent It is clear from a sketch of the graph of y = |x| that the area under the curve between -2 and 2 is 4 (it's the area of a square with side length 2).$

$\noindent Thus \int_{-2}^{2}|x|\, \mathrm{d}x = 4.$

3. ## Re: Integration question help

Originally Posted by InteGrand
$\noindent It is clear from a sketch of the graph of y = |x| that the area under the curve between -2 and 2 is 4 (it's the area of a square with side length 2).$

$\noindent Thus \int_{-2}^{2}|x|\, \mathrm{d}x = 4.$
Thank you! I guess I wasn't thinking of sketching the graph

4. ## Re: Integration question help

Originally Posted by raychippy
What is the value of ∫ |x|dx between the values of x=2 and x=-2?
How do u integrate absolute values? Help please
Check the 2016 HSC for an integrating absolute value multiple choice for further practice.

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