Solve \int (sec(x)tan(x))/(3sec(x) 4)dx

Evaluate

\int \frac{sec ( x ) tan ( x )}{3 sec ( x ) \times 4} d x

Reduce the fraction

More Steps

\int \frac{tan ( x )}{12} d x

Simplify the expression

\int \frac{1}{12} tan (x) d x

Use the property of integral \int k f (x) d x = k \int f (x) d x

\frac{1}{12} \times \int tan (x) d x

Use the property of integral \int tan (x) d x = ln ∣ sec (x) ∣

\frac{1}{12} ln (∣ sec (x) ∣)

Solution

\frac{1}{12} ln (∣ sec (x) ∣) + C, C \in R

Evaluate the integral