Calculate the double integral of f(x,y) over the triangle indicated in the following figure: f(x,y)=−22ye^x

Question

Answer 1

∫∫_D-22ye^xdA = -22∫₀⁴e^xdx∫_1/4x^3/4xydy = {0 ≤ x ≤4; 1/4x ≤ y ≤ 3/4x}

= - 11/2∫₀⁴x²e^xdx = -2991.9