Assignment #7

1) The general solution to (x^n dx) is {x^(n+1)]+C. The C is important because it states whether or not there was a constant present before the integral was taken.

2)
A.  sin(x)dx=-cos(x) S C -S -C  :going right to left      south carolina - south -carolina
B.  cos(x)dx=sin(x) S C -S -C  :going right to left        south carolina - south -carolina
C.  sec^2(x)dx=tan(x)     - it sounds easy to remember if you say it to yourself a few times quickly
D.  csc^2(x)dx=-cot(x)     - opposite of sec^2    all of the C's get negated
E.  sec(x)tan(x)dx=sec(x)   -  its a pattern secxtanxsecx
F.  csc(x)cot(x)dx=-cot(x)  - its a pattern except it gets negated cscxcotx -cscx