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Popular >

integral of x*1/x

Solution

\int x \cdot \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

integral of x^3+e^x+2

\int x^{3} + e^{x} + 2 d x

sum from n=1 to infinity of 1/((-1)^n)

n = 1 \sum \infty \frac{1}{( - 1 ) ^{n}}

(\partial)/(\partial y)(3x^2y+4xy^2)

\frac{\partial}{\partial y} (3 x^{2} y + 4 x y^{2})

integral of e^xsqrt(8+e^x)

\int e^{x} 8 + e^{x} d x

y^'=((e^{(x-y)}))/(1+e^x)

y^{^{'}} = \frac{( e ^{(x - y)} )}{1 + e ^{x}}

Frequently Asked Questions (FAQ)

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