Question

considerando a tabela de integrais imediatas a integral de f(x)=cos x/sen^2x é

Answer 1

$\displaystyle\int{\dfrac{\cos x}{\mathrm{sen^{2}\,}x}\,dx}\\ \\ \\ =\int{\dfrac{\cos x}{\mathrm{sen\,}x}\cdot \dfrac{1}{\mathrm{sen\,}x}\,dx}\\ \\ \\ =\int{\mathrm{cotg\,}x\,\mathrm{cossec\,}x\,dx}\\ \\ \\ =-\mathrm{cossec\,}x+C$