1. Integration: The General Power Formula
by M. Bourne
In this section, we apply this 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. 
First, the LiveMath solution to this problem.
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:
Find your integral using Mathematica!
Enter multiply using *, square root of x using Sqrt[x] and trigonometry like Sin[x]. See the full list of how to enter math.
Click the blue button to find your integral.
Didn't find what you are looking for on this page? Try search:
The IntMath Newsletter
Sign up for the free IntMath Newsletter. Get math study tips, information, news and updates each fortnight. Join thousands of satisfied students, teachers and parents!
Calculus Lessons on DVD
Easy to understand calculus lessons on DVD. See samples before you commit.
More info: Calculus videos
Book mark this page
Add this page to Del.icio.us, Furl, Digg, StumbleUpon, Google, whatever...
Need a break? Play a math game. Well, they all involve math... No, really!
