What is the integral of (20+0.6sqrt(x)) ?

The integral of (20+0.6sqrt(x)) is 20x+0.4x^{3/2}+C

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integral of (20+0.6sqrt(x))

\int (20 + 0.6 x) d x

20 x + 0.4 x^{\frac{3}{2}} + C

Solution steps

\int 20 + 0.6 x d x

Apply the Sum Rule:

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

= \int 20 d x + \int 0.6 x d x

\int 20 d x = 20 x

\int 0.6 x d x = 0.4 x^{\frac{3}{2}}

= 20 x + 0.4 x^{\frac{3}{2}}

Add a constant to the solution

= 20 x + 0.4 x^{\frac{3}{2}} + C

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What is the integral of (20+0.6sqrt(x)) ?
The integral of (20+0.6sqrt(x)) is 20x+0.4x^{3/2}+C