What is the integral of 6sqrt(x)-5 ?

The integral of 6sqrt(x)-5 is 4x^{3/2}-5x+C

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integral of 6sqrt(x)-5

\int 6 x - 5 d x

4 x^{\frac{3}{2}} - 5 x + C

Solution steps

\int 6 x - 5 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 6 x d x - \int 5 d x

\int 6 x d x = 4 x^{\frac{3}{2}}

\int 5 d x = 5 x

= 4 x^{\frac{3}{2}} - 5 x

Add a constant to the solution

= 4 x^{\frac{3}{2}} - 5 x + C

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What is the integral of 6sqrt(x)-5 ?
The integral of 6sqrt(x)-5 is 4x^{3/2}-5x+C