What is the integral of cos(2n)x ?

The integral of cos(2n)x is 1/2 x^2cos(2n)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of cos(2n)x

\int cos (2 n) x d x

\frac{1}{2} x^{2} cos (2 n) + C

Solution steps

\int cos (2 n) x d x

Take the constant out:

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

= cos (2 n) \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= cos (2 n) \frac{x ^{2}}{2}

Simplify

cos (2 n) \frac{x ^{2}}{2} : \frac{1}{2} x^{2} cos (2 n)

= \frac{1}{2} x^{2} cos (2 n)

Add a constant to the solution

= \frac{1}{2} x^{2} cos (2 n) + C

\int x (x - 5)^{2} (x + 1) d x

\int - 4 x sin (2 x) d x

\int x^{19} (x^{20} - 3)^{10} d x

\int \frac{x - 3}{x + 3} d x

\int \frac{x ^{2} - x - 2}{x ^{4} + x ^{2}} d x