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

The integral of-2xcos(x) 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-2xcos(x)

\int - 2 x cos (x) d x

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

Solution steps

\int - 2 x cos (x) d x

Take the constant out:

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

= - 2 \cdot \int x cos (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

y^{^{''}} = \frac{6}{x ^{4}}

\frac{d}{d x} (x + 15)

(3 x + 1) (8.5)

\int_{- 1}^{2} x + 2 d x

y = \frac{3}{x}, y = 12 x, y = \frac{1}{12 x}

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