A JoeCMath companion guide for using u-substitution when the inside function is a constant times x.
A JoeCMath companion guide for using u-substitution when the inside function is a constant times x.
A JoeCMath companion guide for integrating constants with and without bounds.
A JoeCMath companion guide comparing indefinite integrals, definite integrals, antiderivatives, and signed area.
A JoeCMath companion guide for using the integration power rule, including the n=-1 logarithm exception.
A JoeCMath companion guide for choosing u-substitution or power reduction when integrating powers of sine and cosine.
A JoeCMath companion guide explaining why indefinite integrals use +C and how an initial value determines the constant.
A JoeCMath companion guide for using the derivative quotient rule on two worked examples.
A JoeCMath companion guide for three u-substitution examples: matching the chain rule, adjusting constants, and substituting with ln(x).
A companion guide for the JoeCMath long-form video on product rule derivatives from easy examples through harder mixed-rule problems.
Timestamped JoeCMath derivative examples for the power rule, including polynomial terms and mixed problems from longer calculus walkthroughs.
Timestamped JoeCMath derivative examples for the product rule, including basic products and mixed-rule calculus problems from video walkthroughs.
Timestamped JoeCMath derivative examples for the quotient rule, including rational-looking functions and mixed-rule calculus walkthroughs.