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

\frac{d}{d x} (\frac{cos ( 5 ) x ^{2}}{x ^{2}})

\int (3 + tan^{2} (x)) d x

\int \frac{x ^{4}}{7 - x ^{5}} d x

x \to 1 lim (x^{2})

\frac{\partial}{\partial x} (e^{(x + y + 1)})

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