What is the integral of sinh(3-4x) ?

The integral of sinh(3-4x) is -1/4 cosh(3-4x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of sinh(3-4x)

\int sinh (3 - 4 x) d x

- \frac{1}{4} cosh (3 - 4 x) + C

Solution steps

\int sinh (3 - 4 x) d x

Apply u-substitution

: \int - \frac{1}{4} sinh (u) d u

= \int - \frac{1}{4} sinh (u) d u

Take the constant out:

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

= - \frac{1}{4} \cdot \int sinh (u) d u

Use the common integral:

\int sinh (u) d u = cosh (u)

= - \frac{1}{4} cosh (u)

Substitute back

u = 3 - 4 x

= - \frac{1}{4} cosh (3 - 4 x)

Add a constant to the solution

= - \frac{1}{4} cosh (3 - 4 x) + C

\int \frac{7}{x ^{2} + 9} d x

\int x^{2} (x^{3} + 5)^{4} d x

\int sech^{8} (x) tanh (x) d x

\frac{\partial}{\partial x} (x^{2} y + y^{3} - 27 y)

\int (1 + x^{2} + \frac{1}{1 + x ^{2}}) d x

What is the integral of sinh(3-4x) ?
The integral of sinh(3-4x) is -1/4 cosh(3-4x)+C