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Education > Math Undergrad > Re: integral de...
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Re: integral definida

by magidin@[EMAIL PROTECTED] (Arturo Magidin) Apr 13, 2008 at 09:58 PM

In article
<b7abb054-6631-4a8c-bac7-155cfd867e57@[EMAIL PROTECTED]
>,
J.Agustin <calero565@[EMAIL PROTECTED]
> wrote:
>Find   f(x)=int(1/1+(sint)^2) , t=a , t=x)

I could have sworn I already passed my Calc II course; why are you
assigning me homework from that course?

Perhaps you meant to ASK for help? Then you shouldn't type your humble
requests as orders.

But since you ask so nicely, it happens to be Integral number 342
(with a=b=c=1) in the Table of Indefinite Integrals of the CRC
Standard Mathematical Tables and Formulae, 31st Edition.

Alternatively, you can use Weierstrass subsitution,

u = tan(t/2)

to get that sin(t) = 2u/(1+u^2)
            cos(t) = (1-u^2)/(1+u^2)

and transform your integral into the integral of a rational function
of u, which can then be solved by partial fractions. 

-- 
======================================================================
"It's not denial. I'm just very selective about
 what I accept as reality."
    --- Calvin ("Calvin and Hobbes" by Bill Watterson)
======================================================================

Arturo Magidin
magidin-at-member-ams-org
 




 4 Posts in Topic:
integral definida
"J.Agustin" <  2008-04-13 14:46:44 
Re: integral definida
magidin@[EMAIL PROTECTED]  2008-04-13 21:58:54 
Re: integral definida
David W. Cantrell <DWC  2008-04-13 22:55:40 
Re: integral definida
magidin@[EMAIL PROTECTED]  2008-04-14 01:28:11 

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tan12V112 Wed Dec 3 15:13:54 CST 2008.