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- Integrate by partial fractions
- Integrate by substitution
- 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
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Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number
Learn how to solve integrals of exponential functions problems step by step online.
$\int\frac{1}{y}e^ydy$
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int(y^(-1)e^y)dy. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Multiplying the fraction by e^y. The integral \int\frac{e^y}{y}dy 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. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.
