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

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

\int (e^{x} - sin (x)) d x

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

Solution steps

\int e^{x} - 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 sin (x) d x

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

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

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

Simplify

= e^{x} + cos (x)

Add a constant to the solution

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

\int - 2 x - 3 d x

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

\int x \frac{1}{e ^{x}} d x

\int \frac{4 x ^{2} + 3 x + 6}{x ^{2} ( x ^{2} + 3 )} d x

\int 7 x^{e} d x

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