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The integral of a function times a constant ($3$) is equal to the constant times the integral of the function
Learn how to solve integrals of rational functions problems step by step online.
$3\int\frac{1}{13+x^2-4x}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(3/(x^2-4x+13))dx. The integral of a function times a constant (3) 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). Multiply the fraction and term. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.