Answers to Activities with Integrals

Silly Sammy Seal (Integral Evaluation)
Problems:
1
∫e
x
dx = NO MATCH (answer = e − 1)
0
π
4
∫ cos
2
x dx =
0
π
8
+
1
4
1
ln sec 2 x + tan 2 x + C )
2
dx
⎛ x⎞
= NO MATCH (answer = Sin −1 ⎜ ⎟ + C )
⎝2⎠
4− x2
∫ sec 2 x dx = NO MATCH (answer =
⌠
⎮
⌡
2
⌠ 2 xdx = ln(3)
⎮ 2
⌡ x +2
0
⌠ dx = NO MATCH (answer = ln ln x + C )
( )
⎮
⌡ x ln x
1 3
3
∫ cos x dx = NO MATCH (answer = sin x − 3 sin x + C )
∫ tan x dx =
NO MATCH (answer = ln sec x + C )
2
⌠⎛
⎮
⎮ ⎜⎜
⌡⎝
1 ⎞
x2
x+
+ 2 x + ln( x) + C
⎟ dx =
2
x ⎟⎠
4
∫ (x
2
− sin 3 x ) dx =
−4
128
3
dx
⌠
= NO MATCH (answer = Tan −1 ( x − 1) + C )
⎮ 2
⌡ x − 2x + 2
ln 3
∫e
2x
dx = 4
0
1
∫x
4 − x 2 dx = NO MATCH (answer =
0
3
∫
x dx = 5
−1
⌠ x dx = 1 Tan −1 x 2 + C
⎮
⌡ 1+ x 4
2
8
−
3
3)
101π
∫
sin x dx = NO MATCH (answer = 202)
0
Silly Sammie Seal turns into Serious Sally Swan: