What is the integral of cot^3(t) ?

The integral of cot^3(t) is -(cot^2(t))/2-ln|sin(t)|+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of cot^3(t)

\int cot^{3} (t) d t

- \frac{cot ^{2} ( t )}{2} - ln ∣ sin (t) ∣ + C

Solution steps

\int cot^{3} (t) d t

Apply Integral Reduction

= - \frac{cot ^{2} ( t )}{2} - \int cot (t) d t

\int cot (t) d t = ln ∣ sin (t) ∣

= - \frac{cot ^{2} ( t )}{2} - ln ∣ sin (t) ∣

Add a constant to the solution

= - \frac{cot ^{2} ( t )}{2} - ln ∣ sin (t) ∣ + C

y = - 3 cos (x), at x = \frac{- π}{4}

3 x + 1, x + 1

\int \frac{sin ^{7} ( 9 x )}{cos ^{4} ( 9 x )} d x

\int x^{3} x^{2} + 4 d x

\frac{d y}{d x} - 2 x y = 15 x^{2} e^{x^{2}}

What is the integral of cot^3(t) ?
The integral of cot^3(t) is -(cot^2(t))/2-ln|sin(t)|+C