What is the integral of tcsc^2(t) ?

The integral of tcsc^2(t) is -tcot(t)+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 tcsc^2(t)

\int t csc^{2} (t) d t

- t cot (t) + ln ∣ sin (t) ∣ + C

Solution steps

\int t csc^{2} (t) d t

Apply Integration By Parts

: - t cot (t) - \int - cot (t) d t

= - t cot (t) - \int - cot (t) d t

\int - cot (t) d t = - ln ∣ sin (t) ∣

= - t cot (t) - (- ln ∣ sin (t) ∣)

Simplify

= - t cot (t) + ln ∣ sin (t) ∣

Add a constant to the solution

= - t cot (t) + ln ∣ sin (t) ∣ + C

\int 6 x e^{- x} d x

\int \frac{1}{sin ( x ) cos ^{5} ( x )} d x

\frac{d}{d x} (x (x - 7)^{2})

ln (7 - 3 x), 2

\frac{d}{d x} (\frac{7}{4 - 3 x})

What is the integral of tcsc^2(t) ?
The integral of tcsc^2(t) is -tcot(t)+ln|sin(t)|+C