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

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

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

\int \frac{7}{x} + 7 x d x

14 x + \frac{14}{3} x^{\frac{3}{2}} + C

Solution steps

\int \frac{7}{x} + 7 x 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 \frac{7}{x} d x + \int 7 x d x

\int \frac{7}{x} d x = 14 x

\int 7 x d x = \frac{14}{3} x^{\frac{3}{2}}

= 14 x + \frac{14}{3} x^{\frac{3}{2}}

Add a constant to the solution

= 14 x + \frac{14}{3} x^{\frac{3}{2}} + C

\frac{\partial ^{2}}{\partial x ^{2}} (ln (x + 2 y))

n = 1 \sum \infty \frac{1}{3 n ^{2} + 2}

\frac{d}{d x} (\frac{2 cos ( x ) - 3}{sin ( x )})

x \to 0 lim (1 - \frac{cos ( 5 x )}{x})

(2.3) (4.3)

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