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- Integrate by partial fractions
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Take out the constant $21$ from the integral
Learn how to solve integrals of exponential functions problems step by step online.
$21\int\frac{e^{\left(\sqrt{x+1}\right)}}{2\sqrt{x+1}}dx$
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int((21e^(x+1)^(1/2))/(2(x+1)^(1/2)))dx. Take out the constant 21 from the integral. Take the constant \frac{1}{2} out of the integral. Multiply the fraction and term in 21\cdot \left(\frac{1}{2}\right)\int\frac{e^{\left(\sqrt{x+1}\right)}}{\sqrt{x+1}}dx. The integral \int\frac{e^{\left(\sqrt{x+1}\right)}}{\sqrt{x+1}}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.
