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

The integral of (11sqrt(x)+sqrt(5)) is 22/3 x^{3/2}+sqrt(5)x+C

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

\int (11 x + 5) d x

\frac{22}{3} x^{\frac{3}{2}} + 5 x + C

Solution steps

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

\int 11 x d x = \frac{22}{3} x^{\frac{3}{2}}

\int 5 d x = 5 x

= \frac{22}{3} x^{\frac{3}{2}} + 5 x

Add a constant to the solution

= \frac{22}{3} x^{\frac{3}{2}} + 5 x + C

\int x^{3} 1 + 4 x^{2} d x

\frac{d y}{d x}, y^{6} = x^{5}

2 - 3 x

\int x \cdot sin (n x) d x

5 sin (100 t) sin (5 t)

What is the integral of (11sqrt(x)+sqrt(5)) ?
The integral of (11sqrt(x)+sqrt(5)) is 22/3 x^{3/2}+sqrt(5)x+C