Integration of Trigonometric Functions
∫sin x dx =
∫cos x dx =
∫tan x dx =
∫cotx dx =
1
∫secx dx =
∫cscx dx =
2
Find the definite integral.
∫
31) csc(2x) dx =
3
Solve the differential equation.
37)
dy
3 ; (1,0)
=
2 ­ x
dx
4
Evaluate the definite integral. Check using the graphing calculator.
4
43)
∫
5 dx =
3x + 1
0
5
Find f '(x).
x
∫
1
61) f (x) = dt
t
1
3x
∫
1
63) f (x) = dt
t
x
6
Find the average value of the function over the interval.
79) f (x) =
ln x ;
x
[ 1, e ]
7
Assignment:
Day 2
pg 330
29­36 all
38­42 even
44­50 all
62, 64, 68, 78, 80
8