Calculus 2, Lec 7B, Answer to Problem in Lec 7A, Mathematica HW, Trigonometric Substitution Example

Calculus 2, Lecture 7B.

(0:00) Future quizzes will include integrating products of powers of sine and cosine where at least one power is odd.
(0:20) Formula for the distance traveled as a function of time for the parametric curve (t,t^2).
(3:48) Mathematica returns a different-looking answer, though it's really the same.
(5:40) The idea of position and velocity vectors for the parametric curve.
(6:57) Look over Mathematica HW 1.
(13:56) Evaluate the integral of 1/(x^2*sqrt(4 - x^2)) with a trigonometric substitution and check the answer with the Quotient Rule.
(24:56) Guidance about the trigonometric substitutions to do with the other two examples (you should try them on your own).