What is the integral of csc(x)cot(x)e^{csc(x)} ?

The integral of csc(x)cot(x)e^{csc(x)} is -e^{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 csc(x)cot(x)e^{csc(x)}

\int csc (x) cot (x) e^{c s c (x)} d x

- e^{c s c (x)} + C

Solution steps

\int csc (x) cot (x) e^{c s c (x)} d x

Apply u-substitution

: \int - e^{u} d u

= \int - e^{u} d u

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - \int e^{u} d u

Use the common integral:

\int e^{u} d u = e^{u}

= - e^{u}

Substitute back

u = csc (x)

= - e^{c s c (x)}

Add a constant to the solution

= - e^{c s c (x)} + C

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

\int \frac{- e ^{2 x}}{e ^{x} + 1} d x

\int x^{3} (e^{3 x^{2}}) d x

\int \frac{5}{2 x - 4} d x

\int \frac{1}{28 - x ^{2}} d x

What is the integral of csc(x)cot(x)e^{csc(x)} ?
The integral of csc(x)cot(x)e^{csc(x)} is -e^{csc(x)}+C