en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3x^3

Solution

\int 3 x^{3} d x

Solution

\frac{3 x ^{4}}{4} + C

Solution steps

\int 3 x^{3} d x

Take the constant out:

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

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

Apply the Power Rule

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

= 3 \cdot \frac{x ^{4}}{4}

Multiply fractions:

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

= \frac{3 x ^{4}}{4}

Add a constant to the solution

= \frac{3 x ^{4}}{4} + C

Popular Examples

tangent of f(x)=ln(x^2-2x+1),\at x=2 tangent of

f (x) = ln (x^{2} - 2 x + 1), at x = 2

y^{'''}-y^{''}+y^'-y=0

y^{^{'''}} - y^{^{''}} + y^{^{'}} - y = 0

derivative of g(x)=sqrt(7-x)derivative of

g (x) = 7 - x

limit as x approaches 4 of 3

x \to 4 lim (3)

(2r-1)/t dr+(r-2r^2)/(t^2-1)dt=0,r(2)=4

\frac{2 r - 1}{t} d r + \frac{r - 2 r ^{2}}{t ^{2} - 1} d t = 0, r (2) = 4

Frequently Asked Questions (FAQ)

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