What is the integral of cot(u) ?

The integral of cot(u) is ln|sin(u)|+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of cot(u)

\int cot (u) d u

ln ∣ sin (u) ∣ + C

Solution steps

\int cot (u) d u

Rewrite using trig identities

= \int \frac{cos ( u )}{sin ( u )} d u

Apply u-substitution

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

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

Use the common integral:

\int \frac{1}{v} d v = ln (∣ v ∣)

= ln ∣ v ∣

Substitute back

v = sin (u)

= ln ∣ sin (u) ∣

Add a constant to the solution

= ln ∣ sin (u) ∣ + C

y^{^{'}} = 2 x (x - 2)

n = 0 \sum \infty \frac{1 ^{n}}{n + 2}

\int_{0}^{5} \frac{1}{( 6 - 2 x ) ^{\frac{1}{3}}} d x

\int (x^{3} - 2 x)^{2} (\frac{1}{x} - 5) d x

tan (e^{8 t}) + e^{t a n (8 t)}