What is the integral of sin(x)x ?

The integral of sin(x)x is -xcos(x)+sin(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of sin(x)x

\int sin (x) x d x

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

Solution steps

\int sin (x) x d x

Apply Integration By Parts

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

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

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

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

Simplify

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

Add a constant to the solution

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

2 sin (x) + 2 x cos (x)

\int e^{y} cos (2 y) d y

x \to 2 lim (\frac{2 x - 25}{x - 2})

\frac{d y}{d x}, x y = y^{2}

\int_{- \infty}^{0} \frac{1}{6 - 10 x} d x