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

Integral Calculus

Hot goIITian

Joined:	25 Dec 2008
Post:	163

10 Mar 2009 21:05:34 IST

0 People liked this

1731

IIT BOMBAY OLYMPIAD QUESTION INTEGRATION SOLVE THIS !! integral-((pi/2)(0)[log(tanx)])

None

IIT BOMBAY OLYMPIAD QUESTION INTEGRATION SOLVE THIS !!integral-((pi/2)(0)[log(tanx)])

Share this article on:

Comments (12)

kabi

Blazing goIITian

Joined: 11 Jan 2009

Posts: 575

10 Mar 2009 21:23:52 IST

Like 1 people liked this

I= int ( pi/2 , 0 ) log(tan(x)) dx

I= int (pi/2 , 0) log(cos(x)) dx

Adding above

2I= int (pi/2 , 0) log (1) dx

I= 0

thank u

shashank

Hot goIITian

Joined: 25 Dec 2008

Posts: 163

11 Mar 2009 00:21:11 IST

Like 1 people liked this

are you sure ???

Coz doesnt definite integral gives area under curve here we have logtanx tanx-->inf. to pi/2 the are i can t think can be zero .

sajal kumar

Cool goIITian

Joined: 26 Dec 2008

Posts: 62

11 Mar 2009 15:26:05 IST

Like 0 people liked this

definite integral gives area under the curve but doesn't take into account the sign....so the area can come 0 or negative........

Mirka

Blazing goIITian

Joined: 13 Aug 2008

Posts: 1313

11 Mar 2009 15:27:58 IST

Like 0 people liked this

yeah ... so probably below the point x = pi/4 where y = 0 ..... area is negative and its magnitude equals d area of d part above d x-axis .....

kabi

Blazing goIITian

Joined: 11 Jan 2009

Posts: 575

11 Mar 2009 20:24:28 IST

Like 2 people liked this

kabi

Blazing goIITian

Joined: 11 Jan 2009

Posts: 575

11 Mar 2009 20:25:51 IST

Like 2 people liked this

so here is graphical solution .Man.

NugoRama

Blazing goIITian

Joined: 11 Mar 2009

Posts: 5517

11 Mar 2009 20:52:56 IST

Like 0 people liked this

amazing....

kabi

Blazing goIITian

Joined: 11 Jan 2009

Posts: 575

11 Mar 2009 21:17:07 IST

Like 1 people liked this

its not amazing.ya u can say my calculator is amazing who made it in splits of second.

NugoRama

Blazing goIITian

Joined: 11 Mar 2009

Posts: 5517

11 Mar 2009 21:19:32 IST

Like 0 people liked this

not the graph...ur efforts to help ...

NugoRama

Blazing goIITian

Joined: 11 Mar 2009

Posts: 5517

11 Mar 2009 21:20:50 IST

Like 0 people liked this

graph toh koi bhi daal sakta hai ....net se ...calculators se ...aur ...etc etc....

diganta chakrobarty

New kid on the Block

Joined: 14 Mar 2010

Posts: 2

14 Mar 2010 18:39:18 IST

Like 0 people liked this

The Area cannot be zero.

first integrate from 0 to pi/4 and then multiply by 2,not considering the sign.

That is, 0.91596559`*2 = 0.915966,which is the required answer.

diganta chakrobarty

New kid on the Block

Joined: 14 Mar 2010

Posts: 2

14 Mar 2010 18:48:20 IST

Like 0 people liked this

A mistake-the result is

1.83193118 :this is equal to twice the CATALAN'S CONSTANT.

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

Free Sign Up!

Preparing for IIT-JEE ?

Arihant Revision Package for IIT JEE - Books, Practice Tests + Rank Predictor

@ INR 1,995/-

For Quick Info

Find Posts by Topics

Physics.

Topics

9133

19730

3590

2097

7393

2756

2569

Mathematics.

Chemistry.

Biology

Institutes

Parents

Board

Fun Zone