Exercice
Exercice 88
12 mai 2021 12:10
— Par Emmanuel Vieillard-Baron
Alain Soyeur
François Capaces
Calculer :
\(\int_{2}^{3} {\scriptstyle 1\over\scriptstyle x\left(x-1\right)}\,\textrm{d}x\)
\(\int_{2}^{3} {\scriptstyle 2x+1\over\scriptstyle x^2-1}\,\textrm{d}x\)
\(\int_{0}^{1} {\scriptstyle x^2-1\over\scriptstyle x^2+4x-5}\,\textrm{d}x\)
\(\int_{0}^{{\scriptstyle 1\over\scriptstyle 2}} {\scriptstyle x+1\over\scriptstyle\left(x^2+1\right)\left(x-2\right)}\,\textrm{d}x\)
\(\int_{0}^{1} {\scriptstyle 1\over\scriptstyle\left(x^2+2x+5\right)\left(x+2\right)}\,\textrm{d}x\)
\(\int_{0}^{2} {\scriptstyle x\over\scriptstyle\left(x^2+x+1\right)\left(x+1\right)}\,\textrm{d}x\)
\(\int_{0}^{1} {\scriptstyle 1\over\scriptstyle\left(x^2+x+1\right)^2}\,\textrm{d}x\)
\(\int_{0}^{-1} {\scriptstyle 1\over\scriptstyle\left(x^2-3x+2\right)^2}\,\textrm{d}x\)
\(\int_{0}^{1} {\scriptstyle x-1\over\scriptstyle\left(x^2+1\right)^2\left(x+2\right)}\,\textrm{d}x\)