# Integrate sqrt(2+2sin(x)) ?

#### lostinhere

I'm having trouble with this. Can anyone help me integrate

sqrt(2+2sin(x))

??

Thanks

#### The Bob

lostinhere said:
sqrt(2+2sin(x))
Can you out it into a different form first?

#### lostinhere

Other than
sqrt(2)*sqrt(1+sin(x))

I'm stuck

#### dextercioby

Homework Helper
HINT:Make the substitution

$$\tan\frac{x}{2}=t$$

Daniel.

#### lostinhere

Can you be more specific please?

#### dextercioby

Homework Helper
Transform the integral (make a change of variable).

$$\sqrt{2}\int \sqrt{1+\sin x} \ dx$$

$$x=2\arctan t$$

Daniel.

#### steven187

hello there

sqrt[1+sinx]=[(cosx)^2]/[sqrt[1-sinx]]

see what you could do with that if it helps

steven

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