Learn how to solve integration by trigonometric substitution problems step by step online. Find the integral int(((1+y^2)^(1/2))/(1+y^2))dy. Simplify the fraction \frac{\sqrt{1+y^2}}{1+y^2} by 1+y^2. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. We can solve the integral \int\frac{1}{\sqrt{1+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.

Find the integral int(((1+y^2)^(1/2))/(1+y^2))dy