What is the integral of xsin(10-x) ?

The integral of xsin(10-x) is xcos(10-x)+sin(10-x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of xsin(10-x)

\int x sin (10 - x) d x

x cos (10 - x) + sin (10 - x) + C

Solution steps

\int x sin (10 - x) d x

Apply Integration By Parts

: x cos (10 - x) - \int cos (10 - x) d x

= x cos (10 - x) - \int cos (10 - x) d x

\int cos (10 - x) d x = - sin (10 - x)

= x cos (10 - x) - (- sin (10 - x))

Simplify

= x cos (10 - x) + sin (10 - x)

Add a constant to the solution

= x cos (10 - x) + sin (10 - x) + C

\int_{6}^{7} t sin (π t) d t

\frac{d}{d x} (lo g_{12} (x^{2} + n x))

\frac{d}{d x} (2 sinh (\frac{x}{5}))

x \to 1 lim (\frac{x}{x ^{2} - 1})

\frac{d}{d x} ((5 x - 2 x^{4})^{3})

What is the integral of xsin(10-x) ?
The integral of xsin(10-x) is xcos(10-x)+sin(10-x)+C