My first question on this site

VITEEE 2015 Guidance › Calculus questions › My first question on this site

Prove the following:(for a²<1)
Ï€
a)âˆ«ln(1-2acosÎ¸+a²)dÎ¸= 0 is a<1 & 2Ï€lna if a>1
0

Ï€
b)âˆ«ln(1-2acosÎ¸+a²)cosnÎ¸dÎ¸= -(Ï€.aⁿ)/n
0

#Mathematics #Calculus

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7 Answers

1

theking ·2009-01-17 10:36:15

No one has answered my first question on this site. Even administrator is least cared about it.

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13

MAK ·2009-01-17 10:39:22

don't say dat...

he might have missed d site of dis question...

u'll definitely receive ans for dis soon...

[1]

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1

theking ·2009-01-19 03:45:07

OK

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9

Celestine preetham ·2009-01-20 04:33:14

a) try to prove that f(a)=f(a²)/2
so f(a)= 0 follows as u apply abv frmuly successively to get 0

b) use eulers formula

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1

theking ·2009-01-21 10:28:36

What is eulers formula?

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11

Anirudh Narayanan ·2009-01-21 21:36:43

What's euler's formula and what is euler's substitution?

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9

Celestine preetham ·2009-01-21 23:16:05

http://en.wikipedia.org/wiki/Euler's_formula

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Your Answer

Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

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