Express the sum in sigma notation. − 5
1
+ 5
2
− 5
3
+ 5
4
− 5
5
∑ k=0
5
(−1) k
−1 5
k
∑ k=1
5
(−1) k
5
k
∑ k=1
5
(−1) k+1
5
k
∑ k=1
4
(−1) k
5
k+1
Graph the integrand and use areas to evaluate the integral. ∫ 0
4
7xdx 28 56 112 8 Evaluate the integral. ∫ 3
5
10dx −30 30 80 20 Evaluate the integral. ∫ 0
2
(3x 2
+x+5)dx 11 20 3
110
3
19
Evaluate the integral. ∫ 0
ln2
e 2x
dx 2 Evaluate the integral. ∫ 1
2
(t+ t
1
) 2
dx 6
5
6
37
6
29
2
15
Evaluate the integral using the given substitution. ∫ 3−s 4
88 3
ds
,u=3−s 4
−4 3−s 4
+C 3−8 4
44 4
2 3−s 4
−2
+C −4s 3
3−s 4
+C Evaluate the integral. ∫ t 2
1
sin( t
2
+3)dt −cos( t
2
+3]+C
2
1
cos( t
2
+3)+C
− 2
1
cos( t
2
+3)+C
2cos( t
2
+3)+C
Evaluate the integral. ∫x 5
x 6
+8
dx
9
1
(x 6
+8) 3/2
+C
3
2
(x 6
+8) 3/2
+C
4(x 6
+8) 3/2
+C
− 3
1
(x 6
+8) −1/2
+C
Evaluate the integral. ∫sin(7x−10)dx − 7
1
cos(7x−10)+C 7cos(7x−10)+C 7
1
cos(7x−10)+C −cos(7x−10)+C
