. Do not simplify. 1. 136.170: Test #1 Solutions
[7] 1.Compute . Do not simplify.
[Recall that 
, and that 
]
Solution:
[5] 2. Complete to get a true statement:
Solution.
3. In the following questions use area to compute the integrals.
[6] (a) 
.
Solution (a): The graph of the function 
is the upper simicircle with radius 2 centered
at the origin. So the integral is the area of the simidisk of radius 2, which
.
[7] (b) 
, where 
.
The integral is the signed area of the shaded region; the region below the x-axis has area of 1/2 while the one above has area of 3/2. The integral is thus -1/2+3/2=1.