Results 1 to 3 of 3

Math Help - Please help me with calculus .. Having serious problems!

  1. #1
    Newbie
    Joined
    Feb 2013
    From
    Ireland
    Posts
    1

    Please help me with calculus .. Having serious problems!


    Consider the integral 8x^2 (x^3+1) dx . In the following, we will evaluate the integral using two methods.
    A:
    First, rewrite the integral by multiplying out the integrand:
    =?
    B:
    Then evaluate the resulting integral term-by-term:
    =?
    C:
    Next, rewrite the integral using the substitution w=x^3+1
    =?
    D:
    Evaluate this integral (and back-substitute for ) to find the value of the original integral:
    =?
    E:
    How are your expressions from parts (A) and (B) different? What is the difference between the two? (Ignore the constant of integration.)
    (answer from B)(answer from A) =?

    Any help with this would be much appreciated!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Feb 2013
    From
    Krypton
    Posts
    5
    Thanks
    2

    Re: Please help me with calculus .. Having serious problems!

    Quote Originally Posted by THKelly View Post

    Consider the integral 8x^2 (x^3+1) dx . In the following, we will evaluate the integral using two methods.
    A:
    First, rewrite the integral by multiplying out the integrand:
    =?
    B:
    Then evaluate the resulting integral term-by-term:
    =?
    C:
    Next, rewrite the integral using the substitution w=x^3+1
    =?
    D:
    Evaluate this integral (and back-substitute for ) to find the value of the original integral:
    =?
    E:
    How are your expressions from parts (A) and (B) different? What is the difference between the two? (Ignore the constant of integration.)
    (answer from B)(answer from A) =?

    Any help with this would be much appreciated!
    A/B: \int (8x^5+8x^2) dx can you integrate this term by term?

    C: if w=x^3+1 then dw=3x^2dx. Can you take it from here
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Mar 2010
    Posts
    980
    Thanks
    236

    Re: Please help me with calculus .. Having serious problems!

    I think you mean to compare the answers from (B) and (D), which should differ only by a constant. After all, there is only one integral of that function, right?

    Are you having trouble with the calculations in (A) through (D)? If so, tell us where you're having trouble.

    - Hollywood
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: August 12th 2010, 08:51 PM
  2. Replies: 2
    Last Post: June 25th 2010, 10:41 PM
  3. Calculus Problems
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 18th 2009, 12:38 PM
  4. Calculus (2 problems)
    Posted in the Calculus Forum
    Replies: 8
    Last Post: January 18th 2009, 03:20 AM
  5. Help!! Calculus Problems!
    Posted in the Calculus Forum
    Replies: 15
    Last Post: March 26th 2006, 09:59 AM

Search Tags


/mathhelpforum @mathhelpforum