a. Calculate ∫ n 1

1 v

2 dv. Take the limit as n → ∞, and thus calculate ∫ ∞

1 1

b 2 db.

b. Calculate ∫ n 1

1 t

dt. Take the limit as n → ∞, and thus calculate ∫ ∞

1 1

u du.

c. Calculate ∫ n 1

1 t

k dt, where k > 1. Take the limit as n → ∞, and thus calculate ∫ ∞

1 1

u k du.