What is the integral of xcos(7pi)x^2 ?

The integral of xcos(7pi)x^2 is -(x^4)/4+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of xcos(7pi)x^2

\int x cos (7 π) x^{2} d x

- \frac{x ^{4}}{4} + C

Solution steps

\int x cos (7 π) x^{2} d x

Take the constant out:

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

= cos (7 π) \cdot \int x x^{2} d x

cos (7 π) = - 1

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

Simplify

x x^{2} : x^{3}

= (- 1) \cdot \int x^{3} d x

Apply the Power Rule

: \frac{x ^{4}}{4}

= (- 1) \frac{x ^{4}}{4}

Simplify

= - \frac{x ^{4}}{4}

Add a constant to the solution

= - \frac{x ^{4}}{4} + C

f (r) = \frac{3}{r ^{3}}

n = 1 \sum \infty \frac{x ^{n}}{n 3 ^{n}}

\int 3 x^{5} + 4 x d x

f (x) = \frac{4}{x + 1}

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

What is the integral of xcos(7pi)x^2 ?
The integral of xcos(7pi)x^2 is -(x^4)/4+C