calculate-0-pi-2-4sin-2-t-cos-2-t-dt-

Question Number 37235 by abdo.msup.com last updated on 11/Jun/18

c a l c u l a t e \int_{0}^{\frac{π}{2}} \sqrt{4 {s i n}^{2} t + {c o s}^{2} (t)} d t

Answered by tanmay.chaudhury50@gmail.com last updated on 11/Jun/18

\int_{0}^{\frac{Π}{2}} \sqrt{\frac{\frac{4 (1 + c o s 2 t)}{2} + \frac{1 - c o s 2 t}{2}}{}} d t

\int_{0}^{\frac{Π}{2}} \sqrt{2 + 2 c o s 2 t + \frac{1}{2} - c o s 2 t d t}

\int_{0}^{\frac{Π}{2}} \sqrt{\frac{5}{2} + c o s 2 t} d t

c o n t d