What is the integral of cos(pi)xcos(4pi)x ?

The integral of cos(pi)xcos(4pi)x is -(x^3)/3+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of cos(pi)xcos(4pi)x

\int cos (π) x cos (4 π) x d x

- \frac{x ^{3}}{3} + C

Solution steps

\int cos (π) x cos (4 π) x d x

Take the constant out:

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

= cos (π) cos (4 π) \cdot \int xx d x

cos (π) cos (4 π) = - 1

= (- 1) \cdot \int xx d x

Simplify

xx : x^{2}

= (- 1) \cdot \int x^{2} d x

Apply the Power Rule

= (- 1) \frac{x ^{3}}{3}

Simplify

= - \frac{x ^{3}}{3}

Add a constant to the solution

= - \frac{x ^{3}}{3} + C

What is the integral of cos(pi)xcos(4pi)x ?
The integral of cos(pi)xcos(4pi)x is -(x^3)/3+C