What is the integral of (cos(x))^{-1} ?

The integral of (cos(x))^{-1} is ln|tan(x)+sec(x)|+C

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integral of (cos(x))^{-1}

\int (cos (x))^{- 1} d x

ln ∣ tan (x) + sec (x) ∣ + C

Solution steps

\int (cos (x))^{- 1} d x

Rewrite using trig identities

= \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} (x^{\frac{1}{2}} (3 x^{2} - 35 x + 90))

\int \frac{1}{( 1 + x ) ^{2}} d x

\frac{d}{d x} (5^{5})

x \to 2 + lim (x^{2} + 2)

What is the integral of (cos(x))^{-1} ?
The integral of (cos(x))^{-1} is ln|tan(x)+sec(x)|+C