What is the integral of cos(5x+7) ?

The integral of cos(5x+7) is 1/5 sin(5x+7)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of cos(5x+7)

\int cos (5 x + 7) d x

\frac{1}{5} sin (5 x + 7) + C

Solution steps

\int cos (5 x + 7) d x

Apply u-substitution

: \int cos (u) \frac{1}{5} d u

= \int cos (u) \frac{1}{5} d u

Take the constant out:

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

= \frac{1}{5} \cdot \int cos (u) d u

Use the common integral:

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

= \frac{1}{5} sin (u)

Substitute back

u = 5 x + 7

= \frac{1}{5} sin (5 x + 7)

Add a constant to the solution

= \frac{1}{5} sin (5 x + 7) + C

f (x) = \frac{x ^{2} - 2}{x ^{2} + 2}

\frac{\partial}{\partial x} ((x + y) ln (\frac{x}{y}))

\int_{0}^{1} \frac{47}{4 y - 1} d y

y^{^{'}} = 3 - 6 x + y - 2 x y

\frac{1}{( 1 + x ^{2} )}

What is the integral of cos(5x+7) ?
The integral of cos(5x+7) is 1/5 sin(5x+7)+C