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

limit as x approaches 0 of (4-x)/2

x \to 0 lim (\frac{4 - x}{2})

inverse oflaplace 1/(s^2(s^2+2^2))inverse laplace

\frac{1}{s ^{2} ( s ^{2} + 2 ^{2} )}

y^{''}+y=tan(t)

y^{^{''}} + y = tan (t)

derivative of-9x^3 derivative of

- 9 x^{3}

(\partial)/(\partial x)(sin(ye^{10x}))

\frac{\partial}{\partial x} (sin (y e^{10 x}))

Frequently Asked Questions (FAQ)

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