1. Integration: The General Power Formula
by M. Bourne
In this section, we apply the following formula to trigonometric, logarithmic and exponential functions:
(We met this substitution formula in an earlier chapter: General Power Formula for Integration.)
Example 1: Integrate: 
Example 2: Integrate: 
Example 3: Integrate: 
Example 4: Integrate: 
Example 5: Find the equation of the
curve for which
if the curve passes
through (1,2).
Exercises
Integrate each of the following functions:
1. 
2. 
3. 
4. 
5. Find the equation of the curve
for which
if the curve passes through
(2,1).
6. A space vehicle is launched vertically from the ground such that its velocity v (in km/s) is given by
where t is the time in seconds. Find the altitude of the vehicle after 10.0 s.
The graph of
is as follows:

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