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The power of a product is equal to the product of it's factors raised to the same power
Learn how to solve integrals of exponential functions problems step by step online.
$\int\frac{e^{\left(\sqrt{3x}\right)}}{\sqrt{3}\sqrt{x}}dx$
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int((e^(3x)^1/2)/((3x)^1/2))dx. The power of a product is equal to the product of it's factors raised to the same power. Take the constant \frac{1}{\sqrt{3}} out of the integral. The power of a product is equal to the product of it's factors raised to the same power. We can solve the integral \int\frac{e^{\sqrt{3}\sqrt{x}}}{\sqrt{x}}dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that \sqrt{x} it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.