Integration question help (1 Viewer)

raychippy · Mar 20, 2017

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

InteGrand · Mar 20, 2017

raychippy said:
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 $\int_{-2}^{2}|x|\, \mathrm{d}x = 4$.$

raychippy · Mar 20, 2017

InteGrand said:
$\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

pikachu975 · Mar 20, 2017

raychippy said:
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.

Make a Difference – Donate to Bored of Studies!

Integration question help (1 Viewer)

raychippy

New Member

InteGrand

Well-Known Member

raychippy

New Member

pikachu975

Premium Member

Users Who Are Viewing This Thread (Users: 0, Guests: 1)