What is the integral of cos(53x) ?

The integral of cos(53x) is 1/53 sin(53x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of cos(53x)

\int cos (53 x) d x

\frac{1}{53} sin (53 x) + C

Solution steps

\int cos (53 x) d x

Apply u-substitution

: \int cos (u) \frac{1}{53} d u

= \int cos (u) \frac{1}{53} d u

Take the constant out:

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

= \frac{1}{53} \cdot \int cos (u) d u

Use the common integral:

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

= \frac{1}{53} sin (u)

Substitute back

u = 53 x

= \frac{1}{53} sin (53 x)

Add a constant to the solution

= \frac{1}{53} sin (53 x) + C

\int csc (\frac{5}{x}) (\frac{1}{x ^{2}}) d x

\int \frac{3 ^{x} - 2 ^{2 x}}{e ^{x}} d x

\int e^{\frac{x}{12}} d x

\int \frac{( 2 x - 3 )}{( x ^{2} - 3 x + 6 )} d x

\int ln (x - y) + \frac{x + y}{x - y} d x