Final Answer
$\frac{\sqrt{2}}{2}\sqrt{x}+C_0$
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Step-by-step Solution
Problem to solve:
$\int\frac{2}{4\sqrt{2x}}dx$
Specify the solving method
1
The power of a product is equal to the product of it's factors raised to the same power
$\int\frac{2}{4\sqrt{2}\sqrt{x}}dx$
Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{2}{4\sqrt{2}\sqrt{x}}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(2/(4(2x)^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}{4\sqrt{2}} out of the integral. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. The integral of a function times a constant (2) is equal to the constant times the integral of the function.
Final Answer
$\frac{\sqrt{2}}{2}\sqrt{x}+C_0$