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#1 Re: Help Me ! » Integration problems » 2010-03-07 19:12:24
Hi;
For 2)
If this is the problem:
One way would be to split it into partial fractions:
Now integrate term by term.
Thanks for the reply, I'm just wondering how did you get from
to ?#2 Help Me ! » Integration problems » 2010-03-07 14:30:04
- lijon
- Replies: 3
There are 3 problems that I'm stuck with and have no idea where to begin:
1)
Integrate 2x(1-sin2x) dx
2)
Integrate ((3x^2)+1)/x^2((x^2)+1)^2 dx
3)
Integrate x cos x (e^x) dx
I'm thinking that 1 has something to do with substitution and 2 has to do with partial fraction? 3 should be integrate by parts. From then on I'm totally lost...
#3 Re: Help Me ! » Urgent: Help on calculus pyramid question » 2010-02-12 08:33:54
Simple and easy to understand explanation~ You were a great help. Thanks!
#4 Help Me ! » Urgent: Help on calculus pyramid question » 2010-02-11 22:10:40
- lijon
- Replies: 2
The problem I'm trying to solve:
In this problem you are asked to find the volume of a height h pyramid with a square base of width
w. (This is related to the Cheops pyramid problem, but we will use calculus.) Let the variable z
stand for distance down the axis of the pyramid with z = 0 at the top, and consider slicing the
pyramid along this axis (into horizontal slices). This will produce square slices (having area A(z)
and some width delta z). Calculate the volume of the pyramid as an integral by figuring out how A(z)
depends on z and integrating this function.
I have no idea where to even begin!
Any help is greatly appreciated
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