Can I appear for integrated professional competence course directly after completing B.Com

Yes you can get admission in integrated professional competence course after passing graduating in B.Com.. this rule is in effect from the year 2006-2007.
IPCC is integrated professional competence course.. This is intermediate to Chartered Accountancy examinations.

CA course contain 3 levels .
CPT
IPCC
CA FINAL

Qualification for CPT ;
You must have +2 (or) are equivalent to +2 course with any stream.
And no percentage is required for this course.
OR
After passing CPT or graduation with commerce stream you can get admitted for IPCC exam..

IPCC with graduation :
You have to pass B com course from a well recognized university and you must have at least 55%.
And in case of Other graduations are must have at least60%.

Fee :
The Fee payable for Students enrolling for IPCC after Graduation is as follows:-
Particulars Fee
Registration Fee for both Groups 9000
Articleship Registration Fees 2000
ATC (Optional) Fee 1000

Exam dates :
Submit the IPCC Registration Form on or before
Attempt Due Last Date for IPCC Registration
May Attempt 1st September of the previous year
November Attempt 1st March of the same year