What is the integral of 2cos(x)+3sin(x) ?

The integral of 2cos(x)+3sin(x) is 2sin(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 2cos(x)+3sin(x)

\int 2 cos (x) + 3 sin (x) d x

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

Solution steps

\int 2 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 2 cos (x) d x + \int 3 sin (x) d x

\int 2 cos (x) d x = 2 sin (x)

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

= 2 sin (x) - 3 cos (x)

Add a constant to the solution

= 2 sin (x) - 3 cos (x) + C

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

\int x^{3} 5 x^{4} - 2 d x

\int \frac{2}{t ^{2}} \frac{1}{t} + 9 d t

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

\int \frac{8 x}{2 x ^{2} + 3} ln (2 x^{2} + 3) d x

What is the integral of 2cos(x)+3sin(x) ?
The integral of 2cos(x)+3sin(x) is 2sin(x)-3cos(x)+C