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Popular >

integral of x/(t^2)

Solution

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

Solution

- \frac{x}{t} + C

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

: - \frac{1}{t}

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

Simplify

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

= - \frac{x}{t}

Add a constant to the solution

= - \frac{x}{t} + C

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Frequently Asked Questions (FAQ)

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