What is the integral of 10sqrt(x)+sqrt(11) ?

The integral of 10sqrt(x)+sqrt(11) is 20/3 x^{3/2}+sqrt(11)x+C

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integral of 10sqrt(x)+sqrt(11)

\int 10 x + 11 d x

\frac{20}{3} x^{\frac{3}{2}} + 11 x + C

Solution steps

\int 10 x + 11 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 10 x d x + \int 11 d x

\int 10 x d x = \frac{20}{3} x^{\frac{3}{2}}

\int 11 d x = 11 x

= \frac{20}{3} x^{\frac{3}{2}} + 11 x

Add a constant to the solution

= \frac{20}{3} x^{\frac{3}{2}} + 11 x + C

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What is the integral of 10sqrt(x)+sqrt(11) ?
The integral of 10sqrt(x)+sqrt(11) is 20/3 x^{3/2}+sqrt(11)x+C