∫ xe^(2x)/ (2x+1)^2

Printable View

- March 22nd 2009, 10:47 AMswensonm[SOLVED] Tech. of Integration
∫ xe^(2x)/ (2x+1)^2

- March 22nd 2009, 12:26 PMADARSH

-----------------------------

This is a simple question if you remember that

whenever you get an integral with e^x

Try this

**Try proving it its fun**(Happy)

-----------------------

Here let 2x =t

2dx =dt

dx =dt/2

(2x+1) = t+ 1

All you need to do now is See the form , try it before looking down

----------------------------------------

Here

Can you see something (Giggle)

-------------------------------------------------------------

So ultimately

integration has become

**Answer will be**

Put the value of t = 2x

- March 22nd 2009, 08:25 PMJhevon