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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

Popular Examples

derivative of (4x^2+5/(x^2+7))

\frac{d}{d x} (\frac{4 x ^{2} + 5}{x ^{2} + 7})

(\partial)/(\partial y)(10-6y+e^{-3x})

\frac{\partial}{\partial y} (10 - 6 y + e^{- 3 x})

\frac{d}{d t} (3 e^{t})

derivative of F(x)=(x^2)/(4+sqrt(x))derivative of

F (x) = \frac{x ^{2}}{4 + x}

(dy)/(dx)=y+y^3

\frac{d y}{d x} = y + y^{3}

Frequently Asked Questions (FAQ)

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