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Step-by-step Solution
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Solve the integral applying the substitution $u^2=4y^2$. Then, take the square root of both sides, simplifying we have
Learn how to solve integrals of rational functions problems step by step online.
$u=2y$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(1/(1+4y^2))dy. Solve the integral applying the substitution u^2=4y^2. Then, take the square root of both sides, simplifying we have. Now, in order to rewrite dy in terms of du, we need to find the derivative of u. We need to calculate du, we can do that by deriving the equation above. Isolate dy in the previous equation. After replacing everything and simplifying, the integral results in.