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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of cos(1-2x)

\int cos (1 - 2 x) d x

- \frac{1}{2} sin (1 - 2 x) + C

Solution steps

\int cos (1 - 2 x) d x

Apply u-substitution

: \int - \frac{1}{2} cos (u) d u

= \int - \frac{1}{2} cos (u) d u

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - \frac{1}{2} \cdot \int cos (u) d u

Use the common integral:

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

= - \frac{1}{2} sin (u)

Substitute back

u = 1 - 2 x

= - \frac{1}{2} sin (1 - 2 x)

Add a constant to the solution

= - \frac{1}{2} sin (1 - 2 x) + C

4 q + 1, at x = 10

5 x^{2} \frac{d ^{2} y}{d x ^{2}} - 16 x \frac{d y}{d x} + 4 y = 0

\int_{0}^{5} x 5 - x d x

x^{2} y^{^{''}} + 2 x y^{^{'}} - 6 y = 0, y (1) = 0

\frac{d}{d x} (e^{5 x + 2 x^{2}})

What is the integral of cos(1-2x) ?
The integral of cos(1-2x) is -1/2 sin(1-2x)+C