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