What is the integral of cos(2-3x) ?

The integral of cos(2-3x) is -1/3 sin(2-3x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of cos(2-3x)

integral

cos (2 - 3 x)

- \frac{1}{3} sin (2 - 3 x) + C

Solution steps

\int cos (2 - 3 x) d x

Apply u-substitution

: \int - \frac{1}{3} cos (u) d u

= \int - \frac{1}{3} cos (u) d u

Take the constant out:

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

= - \frac{1}{3} \cdot \int cos (u) d u

Use the common integral:

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

= - \frac{1}{3} sin (u)

Substitute back

u = 2 - 3 x

= - \frac{1}{3} sin (2 - 3 x)

Add a constant to the solution

= - \frac{1}{3} sin (2 - 3 x) + C

\frac{( x - 1 ) ^{2}}{x}

x^{2} + 4

x^{2} + 3

(20 - 2 x)^{\frac{1}{2}}

\frac{1}{( x ^{2} + 2 x + 2 )}

What is the integral of cos(2-3x) ?
The integral of cos(2-3x) is -1/3 sin(2-3x)+C