What is the integral of-1/262144 cos(8x) ?

The integral of-1/262144 cos(8x) is -1/2097152 sin(8x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-1/262144 cos(8x)

\int - \frac{1}{262144} cos (8 x) d x

- \frac{1}{2097152} sin (8 x) + C

Solution steps

\int - \frac{1}{262144} cos (8 x) d x

Take the constant out:

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

= - \frac{1}{262144} \cdot \int cos (8 x) d x

Apply u-substitution

: \int cos (u) \frac{1}{8} d u

= - \frac{1}{262144} \cdot \int cos (u) \frac{1}{8} d u

Take the constant out:

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

= - \frac{1}{262144} \cdot \frac{1}{8} \cdot \int cos (u) d u

Use the common integral:

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

= - \frac{1}{262144} \cdot \frac{1}{8} sin (u)

Substitute back

u = 8 x

= - \frac{1}{262144} \cdot \frac{1}{8} sin (8 x)

Simplify

- \frac{1}{262144} \cdot \frac{1}{8} sin (8 x) : - \frac{1}{2097152} sin (8 x)

= - \frac{1}{2097152} sin (8 x)

Add a constant to the solution

= - \frac{1}{2097152} sin (8 x) + C

x \to - 3 lim (x^{2} - 8)

\int sec (2 x) tan (2 x) d x

\int x \cdot e^{2 x} d x

\int 2 sin (x) d x

\int cos^{3} (x) cos (3 x) d x

What is the integral of-1/262144 cos(8x) ?
The integral of-1/262144 cos(8x) is -1/2097152 sin(8x)+C