Math CentralQuandaries & Queries


Question from Russell, a student:

I checked out the integration site, but would like an explanation for integrating this integral

Tan^3[x] * _dx__

Hope this input is correct!
the part that throws me off is Tan^3[x], if it was squared rather than cubed I would have a easier time
dealing with this one.

Hi Russell,

If I am reading thi2 correctly you need to integrate tan3(x) divided by cos2(x). Write 1/cos2(x) as sec2(x) and then the integrand is tan3(x) sec2(x) . Try the substitution u = tan(x).


About Math Central


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS