What is the integral of (1-csc(x)cot(x)) ?

The integral of (1-csc(x)cot(x)) is x+csc(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-csc(x)cot(x))

\int (1 - csc (x) cot (x)) d x

x + csc (x) + C

Solution steps

\int 1 - csc (x) cot (x) d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 1 d x - \int csc (x) cot (x) d x

\int 1 d x = x

\int csc (x) cot (x) d x = - csc (x)

= x - (- csc (x))

Simplify

= x + csc (x)

Add a constant to the solution

= x + csc (x) + C

\frac{d}{d x} (sin (2 x^{3} - 3))

x^{2} + 6 x

\frac{d}{d x} (e^{2 x} e^{3 x} e^{4 x})

f^{^{'}} (x) = x - 3 + π x^{2} - 2

x \to 1 lim (5 x^{2} + 2)

What is the integral of (1-csc(x)cot(x)) ?
The integral of (1-csc(x)cot(x)) is x+csc(x)+C