What is the integral of (1/(cos(x))) ?

The integral of (1/(cos(x))) is ln|tan(x)+sec(x)|+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (1/(cos(x)))

\int (\frac{1}{cos ( x )}) d x

ln ∣ tan (x) + sec (x) ∣ + C

Solution steps

\int \frac{1}{cos ( x )} 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

6 - 5 x^{2}

n = 1 \sum \infty \frac{5}{n ^{2} + 9}

\int_{\frac{1}{5}}^{3} 6 x ln (5 x) d x

\frac{2 x}{x - 1}

y^{^{'}} = \frac{1}{( t - 1 ) ( y + 1 )}, y (0) = 1

What is the integral of (1/(cos(x))) ?
The integral of (1/(cos(x))) is ln|tan(x)+sec(x)|+C