
Discover the power rule for integration: ∫ x^n dx = x^{n+1}/(n+1) + C for n ≠ -1, with linearity and examples like x^2 and x^5.
Master a generalized integration formula for functions with inverse trig results, specifically ∫ dx/(x^2 + a^2) = (1/a) arctan(x/a) + C, with rewriting techniques.
Practice selecting the right u in u-substitution for integrals in polynomials, roots, and exponentials. Pause to guess u, apply derivative relationships, and allow constant factors when the derivative isn’t exact.
Videos: Every video covers a topic of Integration. For every topic I solve many many examples from very simple to hard. I believe that we learn better with more and more exercises.
1. Integrations Formulas
2. U Substitution
3. Integration by Parts
4. Integration of Rational Functions by Partial Fractions
5. Integration of Trigonometric Functions
6. Trigonometric Substitutions
& much more...