. Do not simplify. 1. 136.170: Test #1 Solutions
[7] 1.Compute . Do not simplify.
[Recall that 
, and that 
]
Solution:
[5] 2. Suppose 
= 7 and suppose 
. Find 
.
Solution.
3. In the following questions use area to compute the integrals.
[6] (a) 
.
Solution (a): Denote 
. Then 
. So this function is odd. Therefore, because of symmetry, the integral is 0.
[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 1. The integral is thus -1/2+1=1/2.