MATH 152 Activity 2 (Sections 6.5 and 7.1)
Directions: Put both your name and your partners name on the answersheet. Use scratch paper for work, meaning only
put the answers on the answer sheet. Turn in only ONE answer sheet per pair. Calculators are NOT allowed and you
may use your notes and textbook. Failure to follow these instructions will result in a 1 point deduction. Neat handwriting
is expected.
Z π/2
3 cos x
√
dx
1. Evaluate
1 + 3 sin x
0
Z √w
2
√ dw
2. Find
3 w
Z
2x3
3. Find
dx
2
x −1
Z
4
1
2
dθ
sec
4. Find
θ3
θ2
5. Find the area bounded by y = x2 − x − 4 and y = x − 1.
6. Find the area bounded by y = sin x, y = cos x, x = 0 and x = 2π.
7. Find the area bounded by 2x = y 2 and y = 2x − 2.
π
8. Below is the graph of f (x) = sec2 x and g(x) = sec x tan x. Find the area between these two functions from x = −
3
π
to x = .
6
9. Find the area of the region bounded by y =
1
1
, y = 2 , x = 1 and x = 2.
x
x
1