What is the integral of 4e^x-3sin(x) ?

The integral of 4e^x-3sin(x) is 4e^x+3cos(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 4e^x-3sin(x)

\int 4 e^{x} - 3 sin (x) d x

4 e^{x} + 3 cos (x) + C

Solution steps

\int 4 e^{x} - 3 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 4 e^{x} d x - \int 3 sin (x) d x

\int 4 e^{x} d x = 4 e^{x}

\int 3 sin (x) d x = - 3 cos (x)

= 4 e^{x} - (- 3 cos (x))

Simplify

= 4 e^{x} + 3 cos (x)

Add a constant to the solution

= 4 e^{x} + 3 cos (x) + C

\int 10 e^{t} d t

\int cosh (x) sin (x) d x

\int \frac{x}{e ^{2 x^{2}}} d x

\int \frac{2}{3 x} + 2 x^{5} d x

What is the integral of 4e^x-3sin(x) ?
The integral of 4e^x-3sin(x) is 4e^x+3cos(x)+C