en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 15x^4

Solution

\int 15 x^{4} d x

Solution

3 x^{5} + C

Solution steps

\int 15 x^{4} d x

Take the constant out:

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

= 15 \cdot \int x^{4} d x

Apply the Power Rule

: \frac{x ^{5}}{5}

= 15 \cdot \frac{x ^{5}}{5}

Simplify

15 \cdot \frac{x ^{5}}{5} : 3 x^{5}

= 3 x^{5}

Add a constant to the solution

= 3 x^{5} + C

Graph

Popular Examples

inverse oflaplace 3/(s^2-4)inverse laplace

\frac{3}{s ^{2} - 4}

derivative of x^{\sqrt[3]{ln(x}})

\frac{d}{d x} (x^{3 l n (x)})

integral of-2/3 y^{-4/3}

\int - \frac{2}{3} y^{- \frac{4}{3}} d y

y=(3cos(x))/(1+sin(x))

y = \frac{3 cos ( x )}{1 + sin ( x )}

derivative of (tan(x)^{1/2})

\frac{d}{d x} ((tan (x))^{\frac{1}{2}})

Frequently Asked Questions (FAQ)

What is the integral of 15x^4 ?
The integral of 15x^4 is 3x^5+C