1. Find the area under the curve y = 1/(x4+1) above the x-axis and between the vertical lines x=0 and x=2.
2. A particle is moving along a coordinate line with units in cm. At time t sec its velocity is given by v = 1/(t4+1) cm/sec. How far does it travel in the first two seconds?
3. A weight moves along a straight track under the influence of a force. When the weight is at position x cm along the track, the force on it is F=1/(x4+1) dynes. What is the total work in ergs (= dyne-cms) done on the weight as it travels from x=0 to x=2?