en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 3t^3

Solution

\int 3 t^{3} d t

Solution

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

Solution steps

\int 3 t^{3} d t

Take the constant out:

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

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

Apply the Power Rule

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

Multiply fractions:

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

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

Add a constant to the solution

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

Graph

Popular Examples

derivative of f(x)=ln(1+x)

d er i v a t i v e f (x) = ln (1 + x)

integral of (ax+b)^n

\int (a x + b)^{n} d x

derivative of e^{3x}*cos(2x)

\frac{d}{d x} (e^{3 x} \cdot cos (2 x))

integral from 0 to pi/(12) of 6tan(3x)

\int_{0}^{\frac{π}{12}} 6 tan (3 x) d x

limit as x approaches 2 of 2x^3-3x^2+4x-9

x \to 2 lim (2 x^{3} - 3 x^{2} + 4 x - 9)

Frequently Asked Questions (FAQ)

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