Substitution Rule of Integrals: Integral Problems Made Simple
The Substitution Rule, often referred to as u-substitution, is a powerful technique in integral calculus that simplifies the integration process by transforming a complex integral into a simpler one. It is essentially the reverse process of the chain rule used in differentiation.
Derivative of Logarithmic Functions: A Hard Task Made Easy
Derivatives of logarithmic functions involve understanding how the logarithm’s rate of change relates to its base and argument. For the natural logarithm \( ln(x) \), the derivative is \( \frac{1}{x} \). When dealing with more complex logarithmic expressions, the chain rule is often employed, especially if the logarithm’s argument is a function itself, not just […]
