What is the integral of 3sin(x)+1 ?

The integral of 3sin(x)+1 is -3cos(x)+x+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3sin(x)+1

\int 3 sin (x) + 1 d x

- 3 cos (x) + x + C

Solution steps

\int 3 sin (x) + 1 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 3 sin (x) d x + \int 1 d x

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

\int 1 d x = x

= - 3 cos (x) + x

Add a constant to the solution

= - 3 cos (x) + x + C

x^{3} - 2 x^{2}

\int x^{2} (2 x^{3} - 5)^{3} d x

\int_{0}^{\frac{π}{4}} sec (t) d t

\frac{1}{( s ^{4} + 1 )}

y = 2 (x + 1), y = 3 (x + 1), x = 6