What is the integral of 3sqrt(x)-3 ?

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

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integral of 3sqrt(x)-3

\int 3 x - 3 d x

2 x^{\frac{3}{2}} - 3 x + C

Solution steps

\int 3 x - 3 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 3 x d x - \int 3 d x

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

\int 3 d x = 3 x

= 2 x^{\frac{3}{2}} - 3 x

Add a constant to the solution

= 2 x^{\frac{3}{2}} - 3 x + C

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