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Popular >

integral of x 1/x

Solution

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

Solution

x + C

Solution steps

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

x \frac{1}{x} = 1

= \int 1 d x

Integral of a constant:

\int a d x = a x

= 1 \cdot x

Simplify

= x

Add a constant to the solution

= x + C

Graph

Popular Examples

integral of csc^3(x)cot^5(x)

\int csc^{3} (x) cot^{5} (x) d x

(\partial)/(\partial x)(yln(x)+xy^2)

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

integral of (1/(x^5)-x^5-1/3)

\int (\frac{1}{x ^{5}} - x^{5} - \frac{1}{3}) d x

taylor 2/(1-x^2)taylor

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

y^{''}-4y^'+4y=0,y(0)=2,y^'(0)=7

y^{^{''}} - 4 y^{^{'}} + 4 y = 0, y (0) = 2, y^{^{'}} (0) = 7

Frequently Asked Questions (FAQ)

What is the integral of x 1/x ?
The integral of x 1/x is x+C