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by paulh428
Thu May 19, 2011 2:55 am
Forum: Calculus
Topic: Rocket- Work Integration
Replies: 2
Views: 3975

Rocket- Work Integration

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 ...
by paulh428
Tue May 03, 2011 8:17 pm
Forum: Calculus
Topic: Harmonic Series
Replies: 1
Views: 2283

Harmonic Series

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...
by paulh428
Thu Apr 28, 2011 6:44 am
Forum: Calculus
Topic: Partial Fraction Decomposition
Replies: 1
Views: 1566

Partial Fraction Decomposition

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.
by paulh428
Thu Apr 28, 2011 3:00 am
Forum: Calculus
Topic: Integral Volume
Replies: 3
Views: 2276

Re: Integral Volume

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...
by paulh428
Thu Apr 28, 2011 2:44 am
Forum: Calculus
Topic: Integral Volume
Replies: 3
Views: 2276

Integral Volume

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...
by paulh428
Thu Apr 28, 2011 2:39 am
Forum: Calculus
Topic: Help with Trigonometric Integral
Replies: 3
Views: 2799

Re: Help with Trigonometric Integral

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. :D
by paulh428
Wed Apr 27, 2011 11:23 pm
Forum: Calculus
Topic: Help with Trigonometric Integral
Replies: 3
Views: 2799

Help with Trigonometric Integral

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...

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