Integrate of square root - how to proceed

[MERRVYN]

How to proceed from here. Thanks very much.

 

[Deleted member 4993]

How to proceed from here. Thanks very much.

View attachment 21811

Do you know trigonometric substitution? That will make the problem much simpler.

 

[MERRVYN]

Do you know trigonometric substitution? That will make the problem much simpler.

What is the trigonometric substitution i should use? Thanks very much

 

[Deleted member 4993]

What is the trigonometric substitution i should use? Thanks very much

\(\displaystyle x \ = \ \cos(2*\theta)\)

This substitution will remove \(\displaystyle \sqrt \ \ \) from both the numerator and the denominator.

 

[Dr.Peterson]

Another approach you might take is to multiply the numerator and denominator of the fraction by 1-x. This will change it to a form where a more obvious substitution is applicable (actually, two different substitutions).