Question

Please help me with calculus?

Answer 1

`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:

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`