What is the integral of 3/(2sqrt(x)) ?

The integral of 3/(2sqrt(x)) is 3sqrt(x)+C

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integral of 3/(2sqrt(x))

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

3 x + C

Solution steps

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

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{3}{2} \cdot \int \frac{1}{x} d x

Apply the Power Rule

: 2 x^{\frac{1}{2}}

= \frac{3}{2} \cdot 2 x^{\frac{1}{2}}

Simplify

\frac{3}{2} \cdot 2 x^{\frac{1}{2}} : 3 x

= 3 x

Add a constant to the solution

= 3 x + C

\int \frac{1}{2 ^{n}}

x \to 2 + lim (\frac{2}{( x - 2 ) ^{2}})

\int_{2}^{4} 25 d x

\frac{\partial}{\partial x} (e^{(7 x y)} ln (6 y))

\int (2 x^{2} - 1) d x

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