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))

\int (sin (x) - cos (x)) d 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 x^{2} cos (n) x d x

x \to 6 lim (- 2 x - 5)

f (t) = (e^{t} - e^{- t})^{2}

y^{^{'}} + 8 y = 3 x

\frac{\partial}{\partial u} (2 uv)

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