integration using for loop

i need to integral the fu= x^2+y^3 , from 0 to 2 for x and from 2 to 4 for dy . using for loop and int or integral in matlab .can anybody help me?

Answer 1

[Dyuman Joshi]

Use integral2 -

f = @(x,y) x.^2 + y.^3;
out = integral2(f, 0, 2, 2, 4)

out = 125.3333

[Dyuman Joshi]

In case you want to perform symbolic integration -

syms x y
f(x, y) = x^2 + y^3;

out = int(int(f, x, 0, 2), y, 2, 4)

out = 

double(out)

ans = 125.3333