What is the integral of e^x+8sin(x) ?

The integral of e^x+8sin(x) is e^x-8cos(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of e^x+8sin(x)

\int e^{x} + 8 sin (x) d x

e^{x} - 8 cos (x) + C

Solution steps

\int e^{x} + 8 sin (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 e^{x} d x + \int 8 sin (x) d x

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

\int 8 sin (x) d x = - 8 cos (x)

= e^{x} - 8 cos (x)

Add a constant to the solution

= e^{x} - 8 cos (x) + C

\int \frac{- x - 28}{( x - 2 ) ( x ^{2} - 2 x + 10 )} d x

\int 6 x x^{2} + 4 d x

\int \frac{2 x - 1}{x + 3} d x

\int \frac{1}{25 x ^{2} + 1} d x

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

What is the integral of e^x+8sin(x) ?
The integral of e^x+8sin(x) is e^x-8cos(x)+C