integration problem..please help

[roxstar1]

solve the differential equation
(integration sign) tan^4(x)sec^2(x) dx

i tried to use u-substitution and substitute u = tan^4(x) but wasnt very successful...is u-substitution the method i should use for this problem? Any suggestions as to how to start this would be much appreciated

 

[roxstar1]

last post

just to clarify..the directions were actually "find the indefinite integral" not solve the differential equation.

 

[tkhunny]

Did you try u = tan(x)?

 

[galactus]

Yes, use \(\displaystyle u=tan(x)\), then \(\displaystyle du=sec^{2}dx\). See?. it's an easy integration now with your u-substitution.

\(\displaystyle \int{u^{4}du}\)

 

[roxstar1]

reply

wow...thanx! i was making it way harder than it should have been : )