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

The integral of ((cos(x)))/(sin(x)) is ln|sin(x)|+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of ((cos(x)))/(sin(x))

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

ln ∣ sin (x) ∣ + C

Solution steps

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

Apply u-substitution

: \int \frac{1}{u} d u

= \int \frac{1}{u} d u

Use the common integral:

\int \frac{1}{u} d u = ln (∣ u ∣)

= ln ∣ u ∣

Substitute back

u = sin (x)

= ln ∣ sin (x) ∣

Add a constant to the solution

= ln ∣ sin (x) ∣ + C

\frac{1}{t}

\frac{d}{d x} (\frac{x + 1}{x - 1})

x \to 0 + lim (1 + \frac{1}{x})

5 e^{- 2 (t - 1)}

n = 1 \sum \infty (- 3)^{- n}

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