# Thread: Question magician:integ and lim

1. ## Question magician:integ and lim

Nice question indeed

2. $\int_{0}^{x} \frac{\sin(x)}{\cos(x)}\sqrt{\cos(x)} \ln(\cos(\theta)) x dx=\ln(\cos(\theta))\int_{0}^{x}\frac{\sin{x}}{\sq rt{\cos{x}}}x dx$

The integral beats me

3. Originally Posted by Ruun
$\int_{0}^{x} \frac{\sin(x)}{\cos(x)}\sqrt{\cos(x)} \ln(\cos(\theta)) x dx=\ln(\cos(\theta))\int_{0}^{x}\frac{\sin{x}}{\sq rt{\cos{x}}}x dx$
Originally Posted by Ruun

The integral beats me

no no no ln(\cos(\theta)) x it is one Function

4. http://integrals.wolfram.com/index.jsp?expr=sin(x)cos(x)^(-1%2F2)x&random=false

I suppose my answer is just wrong lol

you mean $\ln(\cos(\theta)x)$? or $\ln(\cos(\theta x))$?

5. Originally Posted by Ruun
you mean $\ln(\cos(\theta)x)$? or $\ln(\cos(\theta x))$?
I Oqsidi ln[(cos theta)x] it is one Function

6. Originally Posted by a.h.m.a.d
Nice question indeed
Something looks peculiar here. You're integerating with respect to x and yet there's an x in the upper limit??

7. Originally Posted by Danny
Something looks peculiar here. You're integerating with respect to x and yet there's an x in the upper limit??
I'm sorry I have amended the Annex