evaluate the integral

Question

anonymous · Answer

attachment

anonymous · Answer

Solutions manual says answer is 10 but somehow I'm not getting that as my answer. Idk what I'm doing wrong :/

agent0smith · Answer

I'd suggest drawing the graph of the function to start with. It'll help with finding the integral.

anonymous · Answer

yes i did that!

agent0smith · Answer

If you drew an accurate graph, you won't even need the integral sign, just add up the areas from -4 to 6, it's a bunch of simple triangles.

agent0smith · Answer

Keep in mind the function is kinda written backwards...  piecewise functions are usually written with the x<0 on top, x>0 on the bottom

anonymous · Answer

|dw:1383876666957:dw|

anonymous · Answer

well i drew the graph and this is what similar to what i have on paper
my area for the left triangle was 18 & the smaller triangle on the right was 8. So wouldn't that make the entire area for both triangles 26, not ten? or am i missing something? @agent0smith

agent0smith · Answer

That's not the graph... this is a piecewise function.

agent0smith · Answer

http://www.wolframalpha.com/input/?i=piecewise+function+%7Bx%2B2+if+x%3C0%2C+ABS%28x-2%29+if+x%3E0%7D+