- Thu May 19, 2011 2:55 am
- Forum: Calculus
- Topic: Rocket- Work Integration
- Replies:
**2** - Views:
**3975**

Hello, I have a problem I'm working on and having some problems on how to go about it. Here's the problem: A rocket weighing 3 tons is filled with 40 tons of liquid fuel. In the initial part of the flight, fuel is burned off at a constant rate of 2 tons per 1000 ft of vertical height. How much work ...

- Tue May 03, 2011 8:17 pm
- Forum: Calculus
- Topic: Harmonic Series
- Replies:
**1** - Views:
**2283**

Hello, I'm just reading my text on harmonic series and I'm just having trouble where they explain the inequalities. For examples: s 2 = 1 + 1/2 > 1/2 + 1/2 = 2/2 s 4 = s 2 + 1/3 + 1/4 > s 2 + (1/4 + 1/4) = s 2 + 1/2 > 3/2 So my question is, where are they getting the two halves in s 2 and the two qu...

- Thu Apr 28, 2011 6:44 am
- Forum: Calculus
- Topic: Partial Fraction Decomposition
- Replies:
**1** - Views:
**1566**

Hi, I'm working on this problem and I'm stuck on this integral: -7x/(x^4 + 6x^2 + 25). Since the polynomial in the denominator has no real roots, I was wondering how would you separate the denominator into different parts for PFD. Thanks.

- Thu Apr 28, 2011 3:00 am
- Forum: Calculus
- Topic: Integral Volume
- Replies:
**3** - Views:
**2276**

I have another question: simply, how would approach this question: Integral of [e ^ (x/pi) * sin x] ^ 2, where it is bounded by that same function, [0, pi], and the x-axis where the solid is revolved about the x-axis. Thanks. The integral above is part of the definite integral for a volume so the o...

- Thu Apr 28, 2011 2:44 am
- Forum: Calculus
- Topic: Integral Volume
- Replies:
**3** - Views:
**2276**

I have another question: simply, how would approach this question: Integral of [e ^ (x/pi) * sin x] ^ 2, where it is bounded by that same function, [0, pi], and the x-axis where the solid is revolved about the x-axis. Thanks. The integral above is part of the definite integral for a volume so the or...

- Thu Apr 28, 2011 2:39 am
- Forum: Calculus
- Topic: Help with Trigonometric Integral
- Replies:
**3** - Views:
**2799**

Thank you. I actually used it that way after this post. Not sure if what I have now is the correct answer but it was a long one nonetheless. Thank you very much.

- Wed Apr 27, 2011 11:23 pm
- Forum: Calculus
- Topic: Help with Trigonometric Integral
- Replies:
**3** - Views:
**2799**

Hey everyone. This is my first post. I just need help with this problem in Calculus II. The problem states: Integrate the trigonometric integral: Integral of sin ^ 2 (5x) * cos (2x) dx. I wasn't sure how to approach it. Thanks for any help. BTW, this is what I have so far: I've moved it around a lit...