Final answer to the problem
$\frac{1}{2}\arctan\left(\frac{u}{2}\right)+C_0$
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Step-by-step Solution
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(1/(u^2+4))du. Solve the integral by applying the formula \displaystyle\int\frac{x'}{x^2+a^2}dx=\frac{1}{a}\arctan\left(\frac{x}{a}\right). As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.
Final answer to the problem
$\frac{1}{2}\arctan\left(\frac{u}{2}\right)+C_0$
