Calculus

Find the volume of the given solid.
Under the surface
z = 7xy
and above the triangle with vertices
(1, 1), (4, 1), and (1, 2)

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  1. The hypotenuse of the base is the line

    y = (7-x)/3

    So, add up all the small solids with base dx dy and height z

    v = ∫[1,4]∫[1,(7-x)/3] 7xy dy dx

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