LB 119 Lecture Notes - Lecture 1: Long Division, Antiderivative, 4Dx

• School: MSU
• Department: Lyman Briggs College
• Course: LB 119
• Professor: Hanni Nichols

Document Summary

3csc 2 x csc 2 cot 2 x csc 2 x x dx. 3 csc 2x csc 2x dx csc 2 x cot 2 x csc 2 x cot 2 x dx dx. 2 du x sin 2 u x sin 2. There is more than one way to do this one, so you might have discovered a slightly different way. Especially for the second integral you might not have cancelled the csc 2x, since you can use substitution before cancelling. Or you could have factored the 3 out right away before completing the square. Don"t forget with derivatives, you would multiply by 4, and with the anti-derivative you would divide by 4 (from chain rule). First one is easy, third one is just a backward derivative rule. The second and fourth one can be done with substitution. cos x. Share denominator and use exponent rules to simplify before taking the derivative using power rule. dx.