What is the integral of-xsin(z) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-xsin(z)

\int - x sin (z) d z

x cos (z) + C

Solution steps

\int - x sin (z) d z

Take the constant out:

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

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

Use the common integral:

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

= - x (- cos (z))

Simplify

= x cos (z)

Add a constant to the solution

= x cos (z) + C

\int (2 + x + x^{2} + 3 x^{3}) d x

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

\frac{d}{d y} (y^{\frac{4}{5}})

y^{^{'}} = y (x y^{4} + 5)

\int_{1}^{7} (x^{2} - 4 x - 12) d x