en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of (t^2)/2

Solution

\int \frac{t ^{2}}{2} d t

Solution

\frac{t ^{3}}{6} + C

Solution steps

\int \frac{t ^{2}}{2} d t

Take the constant out:

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

= \frac{1}{2} \cdot \int t^{2} d t

Apply the Power Rule

= \frac{1}{2} \cdot \frac{t ^{3}}{3}

Simplify

\frac{1}{2} \cdot \frac{t ^{3}}{3} : \frac{t ^{3}}{6}

= \frac{t ^{3}}{6}

Add a constant to the solution

= \frac{t ^{3}}{6} + C

Graph

Popular Examples

integral of 1/((x^2-5)^{3/2)}

integral of (3x)/(2e^{6x)}

derivative of ln(x-4y)

derivative of 1/6 x^2-3x+15

integral of cos(y)cos(4y)

Frequently Asked Questions (FAQ)

What is the integral of (t^2)/2 ?
The integral of (t^2)/2 is (t^3)/6+C