What is the integral of cos(t)-sin(t) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of cos(t)-sin(t)

\int cos (t) - sin (t) d t

sin (t) + cos (t) + C

Solution steps

\int cos (t) - sin (t) d t

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

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

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

= sin (t) - (- cos (t))

Simplify

= sin (t) + cos (t)

Add a constant to the solution

= sin (t) + cos (t) + C

f (x) = x^{3} + x

\frac{d y}{d x} (2 x + y + 1) = 1

\frac{d}{d x} (3 x^{2} + 2 y x)

- 4 x^{2} + 6.25 x + 8, 2.5 x + 7, 0

y = 4, 2 x, \frac{( - 3 x + 7 )}{2}

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