What is the integral of (sec^2(x))/(sec(x)) ?

The integral of (sec^2(x))/(sec(x)) is ln|tan(x)+sec(x)|+C

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integral of (sec^2(x))/(sec(x))

\int \frac{sec ^{2} ( x )}{sec ( x )} d x

ln ∣ tan (x) + sec (x) ∣ + C

Solution steps

\int \frac{sec ^{2} ( x )}{sec ( x )} d x

Cancel the common factor:

sec (x)

= \int sec (x) d x

Use the common integral:

\int sec (x) d x = ln ∣ tan (x) + sec (x) ∣

= ln ∣ tan (x) + sec (x) ∣

Add a constant to the solution

= ln ∣ tan (x) + sec (x) ∣ + C

\frac{d}{d x} (e^{y x})

f (x) = \frac{3}{x}, (9, \frac{1}{3})

\int (8 x^{3} (2 x^{4} + 4)^{4}) d x

\frac{d}{d x} (\frac{x ^{2}}{9 + 8 x})

x \to 0 lim (x^{4} sin (\frac{1}{x}))

What is the integral of (sec^2(x))/(sec(x)) ?
The integral of (sec^2(x))/(sec(x)) is ln|tan(x)+sec(x)|+C