# How can I calculate $\int \frac{\sec x\tan x}{3x+5}\,\mathrm dx$

How can I calculate $$\int{\sec\left(x\right)\tan\left(x\right) \over 3x + 5}\,{\rm d}x$$

My Try:: $\displaystyle \int \frac{1}{3x+5}\left(\sec x\tan x \right)\,\mathrm dx$

Now Using Integration by Parts::

We Get $\displaystyle = \frac{1}{3x+5}\sec x +\int \frac{3}{(3x+5)^2}\sec x\,\mathrm dx$

Now My Question is How Can I calculate (II) Integral.

In mathematics, it is not necessary to use a dot . to indicate product; if you really want an explicit indication of it, then the TeX command \cdot will provide you with a centred dot: $\cdot$. –  Lord_Farin May 18 '13 at 8:04