| Exercice 1. Existence et calcul de {I=\displaystyle\int_{0}^{2}\dfrac{\text{d}x}{\sqrt{x(2-x)}}}. |
| Exercice 2. Existence et calcul de {J=\displaystyle\int_{-\infty}^{+\infty}\!\!\dfrac{\text{d}x}{x^2+2x+2}}. |
| Exercice 3. Existence et calcul de {K\!=\!\!\displaystyle\int_{0}^{+\infty}\!\!\dfrac{\ln(1+x)}{x\sqrt{x}}\text{d}x} |
| Exercice 4. Existence et calcul de {I=\displaystyle\int_{0}^{+\infty}\!\!\!\text{e}^{-\sqrt x}\,\text{d}x}. |
Exercice 5.
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