Please help me with calculus?

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1 Answer
Timber Lin
May 23, 2018

#9#

Explanation:

graph of #f(x)=|x-3|#:
graph{|x-3| [0, 6, -5, 5]}

#int_0^6|x-3|dx# is the area between this graph and the x-axis:
enter image source here

while you can use integration, this problem seems to be easier to solve using geometry.

the area is two triangles. both of them have a width of 3 and height of 3.

area = #3*3/2+3*3/2=9#

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