What is the integral of sin(2x+5) ?

The integral of sin(2x+5) is -1/2 cos(2x+5)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of sin(2x+5)

\int sin (2 x + 5) d x

- \frac{1}{2} cos (2 x + 5) + C

Solution steps

\int sin (2 x + 5) d x

Apply u-substitution

: \int sin (u) \frac{1}{2} d u

= \int sin (u) \frac{1}{2} d u

Take the constant out:

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

= \frac{1}{2} \cdot \int sin (u) d u

Use the common integral:

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

= \frac{1}{2} (- cos (u))

Substitute back

u = 2 x + 5

= \frac{1}{2} (- cos (2 x + 5))

Simplify

= - \frac{1}{2} cos (2 x + 5)

Add a constant to the solution

= - \frac{1}{2} cos (2 x + 5) + C

f (x) = arctan (\frac{x - 1}{x + 1})

y = x, at x = 4

f (x) = 9 - x^{2}, at x = - 1

x^{- \frac{2}{3}}

\int \frac{7 x + 6}{x ^{2} ( x + 2 )} d x

What is the integral of sin(2x+5) ?
The integral of sin(2x+5) is -1/2 cos(2x+5)+C