What is the integral of 5^x+6sinh(x) ?

The integral of 5^x+6sinh(x) is (5^x)/(ln(5))+6cosh(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 5^x+6sinh(x)

\int 5^{x} + 6 sinh (x) d x

\frac{5 ^{x}}{ln ( 5 )} + 6 cosh (x) + C

Solution steps

\int 5^{x} + 6 sinh (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 5^{x} d x + \int 6 sinh (x) d x

\int 5^{x} d x = \frac{5 ^{x}}{ln ( 5 )}

\int 6 sinh (x) d x = 6 cosh (x)

= \frac{5 ^{x}}{ln ( 5 )} + 6 cosh (x)

Add a constant to the solution

= \frac{5 ^{x}}{ln ( 5 )} + 6 cosh (x) + C

\frac{d}{d x} (\frac{x}{x + 5})

\frac{( 1 - x ^{2} ) d y}{d x} = x e^{y}

(2 x - 9)^{4} (x^{2} + x + 1)^{5}

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

\int x (2 x + 1)^{7} d x

What is the integral of 5^x+6sinh(x) ?
The integral of 5^x+6sinh(x) is (5^x)/(ln(5))+6cosh(x)+C