What is the integral of (5sqrt(x)+sqrt(11)) ?

The integral of (5sqrt(x)+sqrt(11)) is 10/3 x^{3/2}+sqrt(11)x+C

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integral of (5sqrt(x)+sqrt(11))

\int (5 x + 11) d x

\frac{10}{3} x^{\frac{3}{2}} + 11 x + C

Solution steps

\int 5 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 5 x d x + \int 11 d x

\int 5 x d x = \frac{10}{3} x^{\frac{3}{2}}

\int 11 d x = 11 x

= \frac{10}{3} x^{\frac{3}{2}} + 11 x

Add a constant to the solution

= \frac{10}{3} x^{\frac{3}{2}} + 11 x + C

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What is the integral of (5sqrt(x)+sqrt(11)) ?
The integral of (5sqrt(x)+sqrt(11)) is 10/3 x^{3/2}+sqrt(11)x+C