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Integration of tan^3x
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tan x(tan^2x)= tanx(sec^2x -1)
does it make sense?
sure next step
tanx(sec^2x -1) = tanx sec^2x - tanx
now do the integration...
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does it make sense?
it should tanx - log something
what's the right answer?
yes tanx- ln I secx I +c
final answer will be tan^2x /2 - ln I secx I +c
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