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Integral of sin inverse( 2tanx/1+tan sq.x)

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Integral of sin inverse( 2tanx/1+tan sq.x)

Posted by Anand Ranwan 7 years, 9 months ago

CBSE > Class 12 > Mathematics

1 answers

Naveen Sharma 7 years, 9 months ago

$\int sin^{-1}({2tan x\over 1+tan^2x})dx$

$= \int sin^{-1}(sin\ 2x)dx$
$= \int 2x \ dx = {2x^2\over 2}+C = x^2 + C$

1Thank You

ANSWER

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