What is the integral of sqrt(x)+10 ?

The integral of sqrt(x)+10 is 2/3 x^{3/2}+10x+C

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integral of sqrt(x)+10

\int x + 10 d x

\frac{2}{3} x^{\frac{3}{2}} + 10 x + C

Solution steps

\int x + 10 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 x d x + \int 10 d x

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

\int 10 d x = 10 x

= \frac{2}{3} x^{\frac{3}{2}} + 10 x

Add a constant to the solution

= \frac{2}{3} x^{\frac{3}{2}} + 10 x + C

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What is the integral of sqrt(x)+10 ?
The integral of sqrt(x)+10 is 2/3 x^{3/2}+10x+C