Evaluate int (sin^(-1)sqrt(x))/sqrt(1-x)

klasyvea

klasyvea

Answered question

2022-11-10

Evaluate sin 1 x 1 x d x

Answer & Explanation

okuzala3ul

okuzala3ul

Beginner2022-11-11Added 14 answers

We pose x = cos 2 θ and we have
I = sin 1 x 1 x d x = 2 θ cos θ d θ ,
and by integration by parts we have
I = 2 θ sin θ 2 cos θ + C ,
Finally we return to the variable x to find
I = 2 x 2 arcsin ( x ) 1 x + C .

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?