1. What is the area under the curve y = x3 + x from x = 1 to x = 2?

2. A helicopter rises straight up in the air so that its velocity t seconds after take-off is

v(t) = t3/2 + (1/2)t1/2 + 1 feet per second. If the landing pad is 100 feet above the ground, which ofthe following gives the height of the helicopter at time t ?

A.h(t)= 2/5t5/2+ 1/3t3/2+t+100

B. h(t)= 3/2t1/2+1/4t-1/2+100

C.h(t)= 5/3t5/2+3/4t3/2+t-100

D.h(t)= 2/3t5/2+ 1/4t3/2+t+C