What is the integral of 380-0.8sqrt(q) ?

The integral of 380-0.8sqrt(q) is 380q-0.53333…q^{3/2}+C

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integral of 380-0.8sqrt(q)

\int 380 - 0.8 q d q

380 q - 0.53333 \dots q^{\frac{3}{2}} + C

Solution steps

\int 380 - 0.8 q d q

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 380 d q - \int 0.8 q d q

\int 380 d q = 380 q

\int 0.8 q d q = 0.53333 \dots q^{\frac{3}{2}}

= 380 q - 0.53333 \dots q^{\frac{3}{2}}

Add a constant to the solution

= 380 q - 0.53333 \dots q^{\frac{3}{2}} + C

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What is the integral of 380-0.8sqrt(q) ?
The integral of 380-0.8sqrt(q) is 380q-0.53333…q^{3/2}+C