Home » Ask & Discuss » Mathematics. » Integral Calculus « Back to Discussion

Integral Calculus

Hot goIITian

Joined:	1 Oct 2007
Post:	166

11 Apr 2008 01:40:01 IST

0 People liked this

464

easy integratn........!!!!

None

₀ dx / (x^2 + a^2 )⁷

Share this article on:

Comments (2)

varsha valli g.

Blazing goIITian

Joined: 31 Jan 2007

Posts: 515

11 Apr 2008 15:44:06 IST

Like 2 people liked this

put x=a * tanA
dx=a sec^2A
apply change of limits,it vill be from 0 to pie/2.
substituting ,v get I = (1/a^13) integral cos^12A.
since the power is even,

I=(1/a^13)(11*9*7*5*3*1/12*10*8*6*4*2)pie/2
I=(1/a^13)(10395/46080)pie/2

correct me if m wrong

rate me if m right
!!!!!!!!!!!!!!!!!!!

joy francis

Blazing goIITian

Joined: 19 Feb 2007

Posts: 1802

12 Apr 2008 11:32:02 IST

Like 0 people liked this

yes it is general substitution..

in x^2 + a^2 ..put x = atan@

for a^2-x^2 ..put x = asin@ or acos@

ad for x^2-a^2...put x=asec@.

:D

Quick Reply

Reply

	Some HTML allowed.
	Keep your comments above the belt or risk having them deleted.
	Signup for a avatar to have your pictures show up by your comment
	If Members see a thread that violates the Posting Rules, bring it to the attention of the Moderator Team