What is the integral of (Insqrt(x))/x ?

The integral of (Insqrt(x))/x is 2Insqrt(x)+C

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integral of (Insqrt(x))/x

\int \frac{I n x}{x} d x

2 I n x + C

Solution steps

\int \frac{I n x}{x} d x

Take the constant out:

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

= I n \cdot \int \frac{x}{x} d x

Simplify

\frac{x}{x} : \frac{1}{x}

= I n \cdot \int \frac{1}{x} d x

Apply the Power Rule

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

= I n \cdot 2 x^{\frac{1}{2}}

Apply radical rule:

= 2 I n x

Add a constant to the solution

= 2 I n x + C

y^{^{''}} + 9 y^{^{'}} + 8 y = 0, y (0) = 1, y^{^{'}} (0) = 0

\int_{1}^{\infty} x e^{- 9 x} d x

\int sin^{3} (x) \cdot cos^{3} (x) d x

2^{2 - 3 x}

\frac{( x ^{2} + x - 17 )}{( x - 4 )}

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