What is the integral of 5cos(x)+3sin(x) ?

The integral of 5cos(x)+3sin(x) is 5sin(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 5cos(x)+3sin(x)

\int 5 cos (x) + 3 sin (x) d x

5 sin (x) - 3 cos (x) + C

Solution steps

\int 5 cos (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 5 cos (x) d x + \int 3 sin (x) d x

\int 5 cos (x) d x = 5 sin (x)

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

= 5 sin (x) - 3 cos (x)

Add a constant to the solution

= 5 sin (x) - 3 cos (x) + C

f (x) = 2 x^{2} + 8 x

n = 1 \sum \infty 2 (- \frac{1}{2})^{n}

\frac{d}{d t} (1 + t)

\int 8 x e^{x} d x

\int 5 csc^{4} (x) cot^{6} (x) d x

What is the integral of 5cos(x)+3sin(x) ?
The integral of 5cos(x)+3sin(x) is 5sin(x)-3cos(x)+C