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Popular Calculus >

integral of sqrt(1/x)

Solution

\int \frac{1}{x} d x

Solution

2 x + C

Solution steps

\int \frac{1}{x} d x

Simplify

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

= \int \frac{1}{x} d x

Simplify

= \int \frac{1}{x} d x

Apply the Power Rule

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

Apply radical rule:

a^{\frac{1}{n}} = n a

= 2 x

Add a constant to the solution

= 2 x + C

Graph

Popular Examples

area y=x^2+4,y=7-2x^2

a re a y = x^{2} + 4, y = 7 - 2 x^{2}

integral from 1/2 to 1 of (2y+3)/(y^2+y)

\int_{\frac{1}{2}}^{1} \frac{2 y + 3}{y ^{2} + y} d y

y^{''}+9y=cos(3t)

y^{^{''}} + 9 y = cos (3 t)

integral of x^2*sqrt(1+x)

\int x^{2} \cdot 1 + x d x

(\partial)/(\partial x)(-e^{8y}cos(8x)*8)

\frac{\partial}{\partial x} (- e^{8 y} cos (8 x) \cdot 8)

Frequently Asked Questions (FAQ)

What is the integral of sqrt(1/x) ?
The integral of sqrt(1/x) is 2sqrt(x)+C