Manipulating Rational Expressions Prior to Integration
Consider the rational expression \(\frac{2x}{x^2-4}\). Answer the following parts to rewrite the expression and evaluate its integral.
Simplification of a Complex Integrand
Rewrite the integrand \(6x\sqrt{2x^2+3}\) in a form that clearly factors out constants in preparation for integration. Hint: Consider a substitution where the inner function of the square root is used.