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Posted: **Thu Jan 29, 2009 3:00 pm**

Calculati:
a) \( \int_0^1\left(\int_y^1 e^{x^2} dx\right)dy \)
b) \( \int_0^1\left(\int_y^1 \cos{x^2} dx\right)dy \)
c) \( \int_0^1\left(\int_y^1 G(x^2) dx\right)dy \) unde \( G \in \int g \).

Posted: **Sat Jan 31, 2009 7:22 pm**

a) Integrind prin parti \( \int_0^1\left(\int_y^1 e^{x^2} dx\right)dy=y\int_y^1e^{x^2}dx\mid_0^1-\int_0^1y\cdot(-e^{y^2})dy=\frac{e^{y^2}}{2}|_0^1=\frac{e-1}{2} \)
b) Analog.
c) Analog.

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