Question

Resolva a integral de cos x . sen^6 x dx

Answer 1

cos x . sen^6 x dx
seja t=senx
       dt=cosxdx

$\int\limits^a_b {cos x . sen^6 x} \, dx= \int\limits^a_b {t^6} \, dt= \frac{t^7}{7}= \frac{sen^7x}{7}$