∫01∫x1ey2 dydx=∫01∫0yey2 dydx=∫01yey2 dy=[12ey2]01=12(e−1)\int_0^1\int_x^1 e^{y^2}\,dydx = \int_0^1\int_0^y e^{y^2}\,dydx = \int_0^1 ye^{y^2}\,dy = \left[\frac{1}{2}e^{y^2}\right]_0^1 = \frac{1}{2}(e-1)∫01∫x1ey2dydx=∫01∫0yey2dydx=∫01yey2dy=[21ey2]01=21(e−1)