exo7 828

Calculer les primitives suivantes : $$\int \frac{\cos^3 x}{\sin^5x}dx \quad ; \quad \int \frac{\sin^3x}{1+\cos x}dx \quad ; \quad \int \frac{dx}{\cos^4x+\sin^4x} \quad ; \quad \int \frac{\cos x}{1+\sin 2x}dx \quad ;$$

$$\int \frac{\tan x -\tan a}{\tan x + \tan a}dx \quad ; \quad \int \frac{\sh x \ch x}{\sh^4x+\ch^4x}dx.$$