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  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#1 2014-10-09 06:43:57

debjit625
Member
Registered: 2012-07-23
Posts: 101

Integration problem

Well I solved this in two ways ,one of them is wrong or what I dont know

First answer is

Which is correct as many book have them
But if I try to put  1 = tan(pi/4) and then try to solve it I get something else





I am not able to understand it ,can anybody explain me where I am wrong.....

Thanks


Debjit Roy
___________________________________________________
The essence of mathematics lies in its freedom - Georg Cantor

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#2 2014-10-09 07:05:51

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Integration problem

Hi;

They are the same, they just disagree by a constant. When you integrate you produce a family of curves. That is what the C is.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#3 2014-10-09 07:43:42

debjit625
Member
Registered: 2012-07-23
Posts: 101

Re: Integration problem

Thanks


Debjit Roy
___________________________________________________
The essence of mathematics lies in its freedom - Georg Cantor

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