What is the integral of (14sqrt(x)+sqrt(7)) ?

The integral of (14sqrt(x)+sqrt(7)) is 28/3 x^{3/2}+sqrt(7)x+C

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integral of (14sqrt(x)+sqrt(7))

\int (14 x + 7) d x

\frac{28}{3} x^{\frac{3}{2}} + 7 x + C

Solution steps

\int 14 x + 7 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 14 x d x + \int 7 d x

\int 14 x d x = \frac{28}{3} x^{\frac{3}{2}}

\int 7 d x = 7 x

= \frac{28}{3} x^{\frac{3}{2}} + 7 x

Add a constant to the solution

= \frac{28}{3} x^{\frac{3}{2}} + 7 x + C

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What is the integral of (14sqrt(x)+sqrt(7)) ?
The integral of (14sqrt(x)+sqrt(7)) is 28/3 x^{3/2}+sqrt(7)x+C