Area of a triangle w/calculus?

[SciSteve]

consider a triangle with the given vertices. (0,0), (5,2), (-1,6) Use calculus to find the area of the triangle.
Not quite sure how to do this..

 

[physstudent1]

draw the graph and think about which line you want the area under and from which limits (you definitely need to integrate)

 

[PingPong]

If you're taking calculus with cross products, check out this website for finding the area of a parallelogram.

http://jtaylor1142001.net/calcjat/Solutions/VCrossProduct/VCPATriangle.htm