Evaluate sec 4x csc4x dx SolutionExplanation sec4xcscxsecxse

Solution

Explanation:

=sec(4x)*csc(x)*sec(x)/sec(x) dx

=sec(4x)² *csc(x)/sec(x) dx

Let u=tan(4x)

then du=4sec(4x)²

Also csc(x)/sec(x)=cos(x)/sin(x)=1/tan(x)

So we get

1/u 1/4*du=1/4 ln(u)+C=

=1/4*ln(tan(4x))+C

So use

1/4*ln(tan(4x))

or 1/4*ln(tan(4x))+C

If these still don\'t work use 1/4*ln|tan(4x)|

(with absolute values || )