Calculus - integrate 4

1

ankit mahapatra ·2009-02-13 21:31:45

sir its e^cosx and not e*cosx.

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62

Lokesh Verma ·2009-02-13 21:42:46

Ankit, I am sure some of the questions you have posted have errors..

either in the answers or the questions....

Can you tell me the source of your questions.. so that I can check them?

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11

Subash ·2009-02-13 21:42:41

dint see ur posts bhaiyya

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voldy ·2009-02-13 21:42:04

oh sry buddy . cos(Ï€-x )hi mera dimag me tha .sry my mistake.

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39

Dr.House ·2009-02-13 21:41:45

yup right

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11

Subash ·2009-02-13 21:41:32

i dont see what is wrong

I=₀âˆ«^2Îe^{cos(2Î -x)}cos(2Î -x)sin(2Î -x)

I=same limits n integral of (e^cosxcosx(-sinx))

I= -I

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62

Lokesh Verma ·2009-02-13 21:40:38

I need to power that.. one sec i will do that..

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Lokesh Verma ·2009-02-13 21:40:24

so what.. yes it is pwer

and cos(2pi-x) = cos x!!

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Subash ·2009-02-13 21:34:54

ne way solution is correct no??

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voldy ·2009-02-13 21:33:22

ankit post Q properly da . plz

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39

Dr.House ·2009-02-13 08:56:45

this is an absolutely easy one dude.

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voldy ·2009-02-13 21:29:26

nishant you've missed out a minus sign in the power .you won't get I = 0 and one request plz everybody take a bit of time and write properly no . all the powers and subscripts and all . helps ppl like me . who're duds at math . thanks guys.

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62

Lokesh Verma ·2009-02-13 21:24:11

I= ₀âˆ«^2pi e^cosxcosx(sinx)

I = ₀âˆ«^2pi e^cos(2pi-x)cos(2pi-x)sin(2pi-x)

I = ₀âˆ«^2pi -e^cos(x)cos(x)sin(x)

Thus I=-I

Thus I=0

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11

Subash ·2009-02-13 09:14:37

leave the senseless part

what about the limits

am i rite or rong

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39

Dr.House ·2009-02-13 09:08:07

i muchmore senseless than u so others must correct me.!!!!!!!!!!!!!!

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Subash ·2009-02-13 09:06:23

by taking t=cosx

and then applying limits

cos0=1=cos2Î rite

and please do correct me if im being senseless here

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Dr.House ·2009-02-13 09:03:42

i didnt understand u subash????????

i just did it thinking it to be a indefinite integral. now we have to put limits accordingly na.

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11

Subash ·2009-02-13 09:01:30

check the limits math.. dont both come out to be 1

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39

Dr.House ·2009-02-13 08:58:02

let cosx=t -sinx dx=dt
therefore given integral is e^t t dt

solve the integral by using integration by parts

its now damn easy na dude.

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