Integrating ∫√(2+2sinθ) using (2+2sinΘ)(2-sinΘ)

[aerograce]

Homework Statement

How to integrate∫√(2+2sinθ)

Homework Equations

Making use of (2+2sinΘ)(2-sinΘ)=4-4sinΘ^2

The Attempt at a Solution

Multiply and dividing the integrand by √2-2sinΘ

 

[LCKurtz]

Homework Statement

How to integrate∫√(2+2sinθ)

Homework Equations

Making use of (2+2sinΘ)(2-sinΘ)=4-4sinΘ^2

The Attempt at a Solution

Multiply and dividing the integrand by √2-2sinΘ

Show us what happened when you did that...

 

[aerograce]

Show us what happened when you did that...

It becomes,

∫ 4cosΘ^2/√(2-2sinΘ)

 

[LCKurtz]

It becomes,

∫ 4cosΘ^2/√(2-2sinΘ)

Isn't there a square root missing in the numerator? Have you tried any substitutions?