What is the integral of cos(5-4x) ?

The integral of cos(5-4x) is -1/4 sin(5-4x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of cos(5-4x)

\int cos (5 - 4 x) d x

- \frac{1}{4} sin (5 - 4 x) + C

Solution steps

\int cos (5 - 4 x) d x

Apply u-substitution

: \int - \frac{1}{4} cos (u) d u

= \int - \frac{1}{4} cos (u) d u

Take the constant out:

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

= - \frac{1}{4} \cdot \int cos (u) d u

Use the common integral:

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

= - \frac{1}{4} sin (u)

Substitute back

u = 5 - 4 x

= - \frac{1}{4} sin (5 - 4 x)

Add a constant to the solution

= - \frac{1}{4} sin (5 - 4 x) + C

\int \frac{x ^{2}}{( x ^{3} + 36 ) ^{2}} d x

\int \frac{x ^{3}}{1 + 1 + x ^{4}} d x

\int \frac{1}{x ^{3}} sin (x^{- 2} - 9) d x

\int z z - 2 d z

\int \frac{6}{x ln ( 9 x )} d x

What is the integral of cos(5-4x) ?
The integral of cos(5-4x) is -1/4 sin(5-4x)+C