What is the integral of 5sinh(x/2-ln(3)) ?

The integral of 5sinh(x/2-ln(3)) is 10cosh(x/2-ln(3))+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 5sinh(x/2-ln(3))

\int 5 sinh (\frac{x}{2} - ln (3)) d x

10 cosh (\frac{x}{2} - ln (3)) + C

Solution steps

\int 5 sinh (\frac{x}{2} - ln (3)) d x

Take the constant out:

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

= 5 \cdot \int sinh (\frac{x}{2} - ln (3)) d x

Apply u-substitution

: \int sinh (u) \cdot 2 d u

= 5 \cdot \int sinh (u) \cdot 2 d u

Take the constant out:

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

= 5 \cdot 2 \cdot \int sinh (u) d u

Use the common integral:

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

= 5 \cdot 2 cosh (u)

Substitute back

u = \frac{x}{2} - ln (3)

= 5 \cdot 2 cosh (\frac{x}{2} - ln (3))

Simplify

= 10 cosh (\frac{x}{2} - ln (3))

Add a constant to the solution

= 10 cosh (\frac{x}{2} - ln (3)) + C

\int \frac{ln ( x ) + 1}{x \cdot ln ( x )} d x

\int \frac{6 ln ( 2 x ^{6} )}{x ^{2}} d x

\int sec^{3} (y) d y

\int \frac{( 2 x + 7 )}{x ^{2} + 2 x + 5} d x

\int x e^{3 x^{2} + 2} d x

What is the integral of 5sinh(x/2-ln(3)) ?
The integral of 5sinh(x/2-ln(3)) is 10cosh(x/2-ln(3))+C