In each of the following problem where applicable you will be expected to:
a. Draw a sketch of the curve showing its start and stop points and its direction.
b. For integrals involving
ds (arc length or surface area) find a simplified expression (single fraction with positive
exponents) for the radical expression.
c. If applicable, draw a box around the simplified integral that needs to be solved.
d. For integrals that require one of the methods of chapter 7, find the antiderivative in factored form, before evaluating
e. Solve the integral.
1) Find the surface area if x=k(cos(t)+tsin(t)), y=k(sin(t))-tcos(t)),
0 `<=t<=pi,k>0 `
is revolved about the x-axis.
2) Find the arc lenght of y= ln`(e^x-2)/(e^x+2)`