Question

Please help me solve the following integral (click to see).

Answer 1

\[\int\limits_{}^{}\tan ^{4}xsecxdx\]

Answer 2

This is where I am stuck (i don't know if this is where I'm supposed to be).
\[\int\limits_{}^{}\sec ^{5}x-2\sec ^{3}x+\sec(x)dx\]

Answer 3

sorry took so long ... got stuck on this one, had to go to wolfram

yes you are on right track , from here you need to use reduction formulas for
sec^m

http://en.wikipedia.org/wiki/Integral_of_secant_cubed#Higher_odd_powers_of_secant

Answer 4

also
\[\int\limits_{}^{} \sec(x) dx = \ln| \sec(x) + \tan(x)|\]