What is the integral of 100q^{-0.5} ?

The integral of 100q^{-0.5} is 200sqrt(q)+C

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integral of 100q^{-0.5}

\int 100 q^{- 0.5} d q

200 q + C

Solution steps

\int 100 q^{- 0.5} d q

Take the constant out:

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

= 100 \cdot \int q^{- 0.5} d q

Apply the Power Rule

= 100 \cdot 2 q^{0.5}

Simplify

100 \cdot 2 q^{\frac{1}{2}} : 200 q

= 200 q

Add a constant to the solution

= 200 q + C

What is the integral of 100q^{-0.5} ?
The integral of 100q^{-0.5} is 200sqrt(q)+C