en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 2x^3

Solution

\int 2 x^{3} d x

Solution

\frac{x ^{4}}{2} + C

Solution steps

\int 2 x^{3} d x

Take the constant out:

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

= 2 \cdot \int x^{3} d x

Apply the Power Rule

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

= 2 \cdot \frac{x ^{4}}{4}

Simplify

2 \cdot \frac{x ^{4}}{4} : \frac{x ^{4}}{2}

= \frac{x ^{4}}{2}

Add a constant to the solution

= \frac{x ^{4}}{2} + C

Popular Examples

integral of-1/2*sin(2x)+1/4*2x

\int - \frac{1}{2} \cdot sin (2 x) + \frac{1}{4} \cdot 2 x d x

integral of x^5+1

\int x^{5} + 1 d x

integral of e^{tan(3x)}sec^2(3x)

\int e^{t a n (3 x)} sec^{2} (3 x) d x

derivative of ({f}(x{g}(x))/x)

\frac{d}{d x} (\frac{f ( x ) g ( x )}{x})

- y^{^{''}} + y = 1

Frequently Asked Questions (FAQ)

What is the integral of 2x^3 ?
The integral of 2x^3 is (x^4)/2+C