Question

$\frac{ \sqrt{65} + 5 }{2}$
solve this​

Answer 1

Step-by-step explanation:

I = ∫√1+sin(x/2)

using sin²x+cos²x=1

sin²x/4 +cos²x/4 =1

sinx/2=2sinx/4cosx/4

using these data i can solve this 

I= ∫√sin²x/4+cos²x/4 + 2sinx/4cosx/4dx

it is in the form of (a+b)²= a²+b²+2ab

so using identity 

I= ∫√(sinx/4+cosx/4)²dx

I= ∫sinx/4dx + ∫cosx/4dx

I = -4cosx/4+4sinx/4

I= 4 (sinx/4-cosx/4)+c answer is not in ur form dude