What is the integral of 1-2cos(2x) ?

The integral of 1-2cos(2x) is x-sin(2x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1-2cos(2x)

\int 1 - 2 cos (2 x) d x

x - sin (2 x) + C

Solution steps

\int 1 - 2 cos (2 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 1 d x - \int 2 cos (2 x) d x

\int 1 d x = x

\int 2 cos (2 x) d x = sin (2 x)

= x - sin (2 x)

Add a constant to the solution

= x - sin (2 x) + C

\int \frac{1}{2 x ^{2} x ^{2} - 9} d x

f (x) = (5 x - 5)^{\frac{1}{4}}, at x = 2

\frac{d}{d x} (4 sin (x) - 5 cos (x) + x)

y^{- 2}

x \to 1 lim (x - \frac{1}{ln ∣ x ∣})