Final Answer
Step-by-step Solution
Specify the solving method
The integral of a function times a constant ($5$) is equal to the constant times the integral of the function
Learn how to solve integrals of rational functions problems step by step online.
$5\int\frac{1}{5+x^2}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(5/(5+x^2))dx. The integral of a function times a constant (5) is equal to the constant times the integral of the function. 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). Simplify the expression inside the integral. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.