I int01 int01x x2 exy dydx Use MatLab symbolic integration t

I= \\int_{0}^{1} \\int_{0}^{1-x} x^2 e^(xy) dydx Use MatLab symbolic integration to calculate I. Answer is (sqrt(pi)erf(1/5)fourthroot(e)/2-0.5. What are the steps?

Solution

To evaluate the integral symbolically, we can proceed in two stages. syms x y firstint=int(x*x*e^(x*y),y,0,1-x) answer=int(firstint,x,0,1)