en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (5x^3)

Solution

\int (5 x^{3}) d x

Solution

\frac{5 x ^{4}}{4} + C

Solution steps

\int 5 x^{3} d x

Take the constant out:

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

= 5 \cdot \int x^{3} d x

Apply the Power Rule

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

= 5 \cdot \frac{x ^{4}}{4}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{5 x ^{4}}{4}

Add a constant to the solution

= \frac{5 x ^{4}}{4} + C

Popular Examples

tangent of f(x)=-6/((3x+5)^2),\at x=-1 tangent of

f (x) = - \frac{6}{( 3 x + 5 ) ^{2}}, at x = - 1

tangent of f(x)=x^2-1 tangent of

f (x) = x^{2} - 1

integral of (x^3)/(x^4-2)

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

derivative of g(w)=12\sqrt[3]{w}derivative of

derivative of f(x)= 1/(sqrt(x-2))derivative of

f (x) = \frac{1}{x - 2}

Frequently Asked Questions (FAQ)

What is the integral of (5x^3) ?
The integral of (5x^3) is (5x^4)/4+C