Question

Encontree a área do Cardioide r²= 1 + sen no primeiro quadrante

Answer 1

$\int\limits^\frac{ \pi}{2}_0 { \int\limits^{(1 + sen \alpha)^ \frac{1}{2} }_0 {r} \, dr } \, d \alpha$
$\frac{1}{2} \int\limits^ \frac{ \pi}{2} _0 {(1 + sen \alpha)} \, d \alpha$
$\frac{1}{2} [ \alpha - cos \alpha ]_{0}^{ \frac{\pi}{2} }$
$\frac{ \pi + 1}{2}$