What is the integral of (sinh(x))/(cosh(x)) ?

The integral of (sinh(x))/(cosh(x)) is ln|cosh(x)|+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (sinh(x))/(cosh(x))

\int \frac{sinh ( x )}{cosh ( x )} d x

ln ∣ cosh (x) ∣ + C

Solution steps

\int \frac{sinh ( x )}{cosh ( x )} d x

Apply u-substitution

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

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

Use the common integral:

\int \frac{1}{u} d u = ln (∣ u ∣)

= ln ∣ u ∣

Substitute back

u = cosh (x)

= ln ∣ cosh (x) ∣

Add a constant to the solution

= ln ∣ cosh (x) ∣ + C

\frac{d}{d x} (e^{c o s h (8 x)})

\frac{d}{d y} (4 y)

x \to 0 lim (\frac{5}{x + 1} + 4 x)

\int \frac{x ^{2} + 4 x + 8}{x - 2} d x

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

What is the integral of (sinh(x))/(cosh(x)) ?
The integral of (sinh(x))/(cosh(x)) is ln|cosh(x)|+C