en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1/(3t^2)

Solution

\int \frac{1}{3 t ^{2}} d t

Solution

- \frac{1}{3 t} + C

Solution steps

\int \frac{1}{3 t ^{2}} 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 ^{2}} d t

Apply the Power Rule

: - \frac{1}{t}

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

Simplify

\frac{1}{3} (- \frac{1}{t}) : - \frac{1}{3 t}

= - \frac{1}{3 t}

Add a constant to the solution

= - \frac{1}{3 t} + C

Graph

Popular Examples

integral of sqrt(x^2-5x+6)

\int x^{2} - 5 x + 6 d x

integral of (18)/((x^2+9)^2)

\int \frac{18}{( x ^{2} + 9 ) ^{2}} d x

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

\int \frac{( 2 x + 1 )}{2 x} d x

integral of (2x^3)/(1-x^4)

\int \frac{2 x ^{3}}{1 - x ^{4}} d x

integral of 1/((1-4x)^{3/2)}

\int \frac{1}{( 1 - 4 x ) ^{\frac{3}{2}}} d x

Frequently Asked Questions (FAQ)

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