INTEGRATE (x sec x)^2 dx

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- May 3rd 2012, 12:55 AMkyouIndefinite integration
INTEGRATE (x sec x)^2 dx

- May 3rd 2012, 01:45 AMFernandoRevillaRe: Indefinite integration
Express and use integration by parts with

- May 3rd 2012, 01:51 AMProve ItRe: Indefinite integration
- May 3rd 2012, 02:08 AMbiffboyRe: Indefinite integration
That leaves me requiring integral of xtanx (?)

- May 3rd 2012, 02:15 AMProve ItRe: Indefinite integration
- May 3rd 2012, 02:52 AMbiffboyRe: Indefinite integration
My post was before yours :-)

- May 3rd 2012, 02:54 AMbiffboyRe: Indefinite integration
No it wasn't. Apologies.

- May 3rd 2012, 02:56 AMProve ItRe: Indefinite integration
Was it really?

http://i22.photobucket.com/albums/b3...n/ohreally.jpg - May 3rd 2012, 02:58 AMkyouRe: Indefinite integration
Well, even if the indefinite integral does not have a closed form evaluation , it does have an infinite series representation , cause we can express tan x as an infinite series in terms of x and then we can obviously multiply the series by x and integrate term by term , owing to the convergence of the series , thus we get the indefinite integral

of xtanx and hence that of (xsecx)^2 - May 3rd 2012, 03:15 AMbiffboyRe: Indefinite integration
My reply was to the post from Spain.