exo7 832

$\displaystyle\int e^{\sin^2x} \sin2x\,dx$.

$\displaystyle\int\cos^5t\,dt$ ; $\displaystyle\int\cosh^3t\,dt$; $\displaystyle\int\cos^4t\,dt$ ; $\displaystyle\int\sinh^4t\,dt$.

$\displaystyle\int x^3 e^x\,dx$.

$\displaystyle\int\ln x \,dx$ ; $\displaystyle\int x\ln x\,dx$; $\displaystyle\int\arcsin x \,dx$.

$\displaystyle\int\cosh t \sin t \, dt$.

$\displaystyle\int{dx \over\sin x}$.

$\displaystyle\int\sqrt{a^2-x^2}\,dx$.

$\displaystyle\int{e^{2x}\over\sqrt{e^x+1}}\,dx$.

$\displaystyle\int e^{ax}\cos bx \,dx$ ; $\displaystyle\int e^{ax}\sin bx \,dx$.

$\displaystyle\int\sqrt{x \over(1-x)^3}\,dx$pour$0<x<1$.

$\displaystyle\int{x^2 \over\sqrt{1-x^2}}\,dx$.

$\displaystyle\int{dx \over\cos x+2\sin x +3}$.

$\displaystyle\int{\sqrt x\,dx \over\sqrt{a^3-x^3}}$ avec $0<x<a$.

$\displaystyle\int{\cosh x\over\cosh x+\sinh x}\,dx$.