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Popular Calculus >

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}{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

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Frequently Asked Questions (FAQ)

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