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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