Integration of $\sec(x+2) \tan(x+2)/\sqrt{x+2} $

Asked May 20 '15 at 21:25

Active May 22 '15 at 06:51

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What is $\int\frac{\sec(x+2)\tan(x+2)}{\sqrt{x+2}}dx$?

I tried the $u=\sqrt{x+2}$ but just get $\int 2\sec(u^2)\tan(u^2)du$, which I am stuck on.

Also tried $w=x+2$ which gives a similar problem, $\int\frac{\sec w\tan w}{\sqrt{w}}dw$.

So anyone who can help me with this, please do. Thanks in advance

edited May 22 '15 at 06:51

Vincenzo Tibullo

asked May 20 '15 at 21:25

Thomas

1

Have you tried integration by parts? – Teoc May 20 '15 at 21:44
yes I have but get stuck as well as the only option is $u=\sec(x^2)\tan(x^2)$ and $dx=dv$, so end up with something that doesn't go anywhere. What are your thoughts? – Thomas May 20 '15 at 21:52
Well $\sec(x)\tan(x)$ is the derivative of $\sec(x)$ so maybe that can help. – Kainui May 21 '15 at 07:44
Both Mathematica and Maple fail with it. Evil omen. – user64494 May 22 '15 at 07:11

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