What is the integral of-cos(x)2x ?

The integral of-cos(x)2x is -2(xsin(x)+cos(x))+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-cos(x)2x

\int - cos (x) 2 x d x

- 2 (x sin (x) + cos (x)) + C

Solution steps

\int - cos (x) \cdot 2 x d x

Take the constant out:

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

= - 2 \cdot \int cos (x) x d x

Apply Integration By Parts

: x sin (x) - \int sin (x) d x

= - 2 (x sin (x) - \int sin (x) d x)

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

= - 2 (x sin (x) - (- cos (x)))

Simplify

= - 2 (x sin (x) + cos (x))

Add a constant to the solution

= - 2 (x sin (x) + cos (x)) + C

x^{2} + \frac{16}{x}

\frac{d}{d x} (\frac{x - 5}{3 x - 4})

\frac{d}{d x} (- \frac{ln ( 2 )}{x ( x + ln ( 2 ) )})

\frac{d x}{d y} = - x^{2} + 7 x - 8

\int \frac{x ^{4} - 2 x ^{2} + 3}{x ^{2}} d x

What is the integral of-cos(x)2x ?
The integral of-cos(x)2x is -2(xsin(x)+cos(x))+C