What is the integral of-cos(7x) ?

The integral of-cos(7x) is -1/7 sin(7x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-cos(7x)

\int - cos (7 x) d x

- \frac{1}{7} sin (7 x) + C

Solution steps

\int - cos (7 x) d x

Take the constant out:

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

= - \int cos (7 x) d x

Apply u-substitution

: \int cos (u) \frac{1}{7} d u

= - \int cos (u) \frac{1}{7} d u

Take the constant out:

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

= - \frac{1}{7} \cdot \int cos (u) d u

Use the common integral:

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

= - \frac{1}{7} sin (u)

Substitute back

u = 7 x

= - \frac{1}{7} sin (7 x)

Add a constant to the solution

= - \frac{1}{7} sin (7 x) + C

\int 4 x^{2} - 16 x + 52 d x

\int \frac{4}{5} csc^{2} (\frac{x}{5}) d x

\int a^{2} - x^{2} x d x

\int \frac{8 x ^{4} + 18 x ^{3} - 7 x}{x} d x

- 2 x^{2}