What is the integral of-3t^{-1/2} ?

The integral of-3t^{-1/2} is -6t^{1/2}+C

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integral of-3t^{-1/2}

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

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

Solution steps

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

Take the constant out:

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

= - 3 \cdot \int t^{- \frac{1}{2}} d t

Apply the Power Rule

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

Simplify

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

Add a constant to the solution

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