Use calculus to find the area A of the triangle with the given vertices. (0, 0), (6, 3), (3, 7)

Answer 1

33/4 = the triangle's area

find the lines between the vertices: y=xx/3 /2, y=7x/3 and y=-4x/3 + 11

take the integral of 7x/3-x/2 evaluated between 0 and 3

then add the integral of -4x/3+11 - x/2 evaluated between 3 and 6

it sums to 33/4