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Rewrite the expression $\frac{3}{5y^2+20}$ inside the integral in factored form
Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{3}{5\left(y^2+4\right)}dy$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(3/(5y^2+20))dy. Rewrite the expression \frac{3}{5y^2+20} inside the integral in factored form. Take the constant \frac{1}{5} out of the integral. 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).