Final answer to the problem
$Ei\left(x\right)+C_0$
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Step-by-step Solution
How should I solve this problem?
- Integrate by substitution
- Integrate by partial fractions
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
- Load more...
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1
The integral $\int\frac{e^x}{x}dx$ is called 'exponential integral' and is non-elementary. The formula for the exponential integral is: $\int\frac{e^x}{x}=Ei(x)$, where $Ei$ is a special function on the complex plane
$Ei\left(x\right)$
2
As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$
$Ei\left(x\right)+C_0$
Final answer to the problem
$Ei\left(x\right)+C_0$
