What is the integral of-xsin(y) ?

The integral of-xsin(y) is xcos(y)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-xsin(y)

\int - x sin (y) d y

x cos (y) + C

Solution steps

\int - x sin (y) d y

Take the constant out:

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

= - x \cdot \int sin (y) d y

Use the common integral:

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

= - x (- cos (y))

Simplify

= x cos (y)

Add a constant to the solution

= x cos (y) + C

\int 3 y d y

y = x, y = \frac{7.25 x}{x ^{2} + 1}

f (x) = e^{x} (1 - x)

x \to \infty lim (3 + \frac{1}{x})

\frac{d}{d x} (- \frac{y}{x + y ^{2}})