What is the integral of sqrt(x)-3 ?

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

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integral of sqrt(x)-3

\int x - 3 d x

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

Solution steps

\int x - 3 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 x d x - \int 3 d x

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

\int 3 d x = 3 x

= \frac{2}{3} x^{\frac{3}{2}} - 3 x

Add a constant to the solution

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

y^{^{''}} - 2 y^{^{'}} + y = e^{x} arctan (x)

\int x sin (14 x) d x

x \to - \frac{π}{2} - lim (sec (x))

f (x) = 4 sin (x), (\frac{π}{6}, 2)

\frac{d}{d x} (tanh (x^{2} - 9))

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