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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of sin(x)+cos(x)

integral

sin (x) + cos (x)

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

Solution steps

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

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

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

= - cos (x) + sin (x)

Add a constant to the solution

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

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

\int \frac{1}{csc ( v )} d v

\int \frac{2 - z}{2 + z} d z

\int \frac{5 x}{3 - 3 sin ^{2} ( 1 - x ^{2} )} d x

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