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Integral Calculus

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11 Nov 2007 12:56:03 IST
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Defeinite integ sure salutes
None

Integrate from 0 to pie/2 x/(sinx) dx = lambda times integration  from 0 to 1 (tan inverse x) / x  dx


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sri kalyan's Avatar

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Joined: 27 Jul 2007
Posts: 219
11 Nov 2007 17:56:34 IST
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integration from 0 to 1 (tan inverse x) / x dx

take x=tany

dx=(secy)^2 dy

integration from 0 to 1 y/(siny*cosy)dy

integration from 0 to 1 2y/sin2y dy

integration from 0 to 1(1/2)x/sinx dx

hence lamda=1/2



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