How Do You Integrate the Square Root of Tan x?

[Curious3141]

At any rate, it is a fairly easy integral. Two subtitutions and a partial fraction decomposition will give the answer. It's messy though, much neater to do a definite integral working out the substitutions along the way.

 

[TD]

I understand, a CalcI student should use the Data Denominator Theorem.

Data Denominator Theorem:
$$\int \frac{1}{u(x)}} dx = F(x) + C$$
[/Color]

"Data Denominator Theorem" ?! Did you invent that? It makes no sense to me at all.

 

[VietDao29]

"Data Denominator Theorem" ?! Did you invent that? It makes no sense to me at all.

Of course he did.

 

[shree007]

My class, teacher included, cannot seem to figure out the integral of the square root of tan x. Maybe someone here can help?

thanks,
jeremy

it is not easy n also very lenthy n time taking

 

[soccer*star]

http://math.ucsd.edu/~wgarner/math10b/int_sqrt_tan.htm

 

[julianze]

hope someone can figure out the integral sqrt(tanx)...

 

[julianze]

http://math.ucsd.edu/~wgarner/math10b/int_sqrt_tan.htm

it helps a lot...