- #1
mk200789
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Homework Statement
integrate tan(x)sec^4(x) dx
Homework Equations
The Attempt at a Solution
int tan(x)sec^4(x) dx
= int tan(x)sec^2(x)sec^2(x) dx
= int tan(x)sec^2(x) (tan^2(x)+1) dx
let u = tanx ==> du = sec^2(x) dx
= int usec^2(x) (u^2 + 1) /sec^2(x) du
= int u(u^2+1) du
= u^4/4 + u^2/2 + C
and then replace the u with tanx
am i doing this correct?