Learn how to solve power of a product problems step by step online. Integrate int((y^2-49)^(1/2)y^(-1))dy. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Multiplying the fraction by \sqrt{y^2-49}. We can solve the integral \int\frac{\sqrt{y^2-49}}{y}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.

Integrate int((y^2-49)^(1/2)y^(-1))dy