Question

$\int\cos{x}. sen(sen{x})$

Answer 1

Resposta:

$\boxed{-\cos{\big(\sin{x}\big)}+C}$

Explicação passo-a-passo:

$\boxed{\int{\cos{x}\sin{\big(\sin{x}\big)dx}}}$

$u=\sin{x}\ \therefore\ \dfrac{du}{dx}=\cos{x}\ \therefore\ du=\big(\cos{x}\big)dx$

$\int{\cos{x}\sin{\big(\sin{x}\big)dx}}=\int{\sin{u}du}=\boxed{-\cos{u}+C}=$

$=\boxed{-\cos{\big(\sin{x}\big)}+C}$