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Popular >

integral of e^x*1/x

Solution

\int e^{x} \cdot \frac{1}{x} d x

Solution

Ei (x) + C

Solution steps

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

Simplify

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

= \int \frac{e ^{x}}{x} d x

Use the nonelementary integral:

\int \frac{e ^{x}}{x} d x = Ei (x)

= Ei (x)

Add a constant to the solution

= Ei (x) + C

Popular Examples

derivative of y=cos(7x)derivative of

y = cos (7 x)

slope of y=((x-4))/(sqrt(x)-2)slope

y = \frac{( x - 4 )}{x - 2}

sum from n=1 to infinity of 3*(4/3)^n

n = 1 \sum \infty 3 \cdot (\frac{4}{3})^{n}

y^{''}+2y^'+y=4e^{-2t}

y^{^{''}} + 2 y^{^{'}} + y = 4 e^{- 2 t}

tangent of sqrt(x)(81.9)tangent of

x (81.9)

Frequently Asked Questions (FAQ)

What is the integral of e^x*1/x ?
The integral of e^x*1/x is \Ei(x)+C