Final Answer
Step-by-step Solution
Specify the solving method
Take the constant $\frac{1}{4}$ out of the integral
Learn how to solve integrals of rational functions problems step by step online.
$\frac{1}{4}\int\frac{1}{y\sqrt{16-y^2}}dy$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(1/(4y(16-y^2)^1/2))dy. Take the constant \frac{1}{4} out of the integral. We can solve the integral \frac{1}{4}\int\frac{1}{y\sqrt{16-y^2}}dy by applying integration method of trigonometric substitution using the substitution. Now, in order to rewrite d\theta in terms of dy, we need to find the derivative of y. We need to calculate dy, we can do that by deriving the equation above. Substituting in the original integral, we get.