What is the integral of sin(13x) ?

The integral of sin(13x) is -1/13 cos(13x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of sin(13x)

\int sin (13 x) d x

- \frac{1}{13} cos (13 x) + C

Solution steps

\int sin (13 x) d x

Apply u-substitution

: \int sin (u) \frac{1}{13} d u

= \int sin (u) \frac{1}{13} d u

Take the constant out:

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

= \frac{1}{13} \cdot \int sin (u) d u

Use the common integral:

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

= \frac{1}{13} (- cos (u))

Substitute back

u = 13 x

= \frac{1}{13} (- cos (13 x))

Simplify

= - \frac{1}{13} cos (13 x)

Add a constant to the solution

= - \frac{1}{13} cos (13 x) + C

\int_{0}^{1} ln (4 x) d x

\int - \frac{4}{x} d x

(x - 2) (x^{2} + 4)

6 cos (x)

- \frac{2}{9 ( 1 + x ) ^{\frac{5}{3}}}