en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 1/(3t^3)

Solution

\int \frac{1}{3 t ^{3}} d t

Solution

- \frac{1}{6 t ^{2}} + C

Solution steps

\int \frac{1}{3 t ^{3}} d t

Take the constant out:

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

= \frac{1}{3} \cdot \int \frac{1}{t ^{3}} d t

Apply the Power Rule

= \frac{1}{3} (- \frac{1}{2 t ^{2}})

Simplify

\frac{1}{3} (- \frac{1}{2 t ^{2}}) : - \frac{1}{6 t ^{2}}

= - \frac{1}{6 t ^{2}}

Add a constant to the solution

= - \frac{1}{6 t ^{2}} + C

Graph

Popular Examples

integral of-2x^4+3x^2-1

integral of 1/((x^2-x+1)^2)

integral of (sin(t))/(1+sin(t))

integral of cos(3x+pi)

integral of (50x)/(sqrt(x^2+3600))

Frequently Asked Questions (FAQ)

What is the integral of 1/(3t^3) ?
The integral of 1/(3t^3) is -1/(6t^2)+C