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Integral and Derivative Help

  1. Jan 14, 2010 #1
    Integral and Derivative Help!!!

    1. The problem statement, all variables and given/known data
    I have 3 problems that i am struggling to solve for the simple fact that there are two variables in each problem. I have no experience with multivariable calculus... i feel like im missing something big because i have all the prerequisites for this physics course completed and with high grades yet this is our first hw... stuff we should be familiar with.
    1. [tex]\int[/tex] 1/(d-x) dx

    2. derivative of f(t)= sin([tex]\omega[/tex]t -1)

    3. [tex]\int[/tex] x/((x^2)+(L^2))^(3/2) dx

    2. Relevant equations

    3. The attempt at a solution
    I've tried to solve 1 and 3 using trig substitution, partial fractions, integration by parts, u substitution but they all seem to lead to dead ends
  2. jcsd
  3. Jan 14, 2010 #2


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    Re: Integral and Derivative Help!!!

    Assume 'd' and 'L' are constants. The first is a simple u-substitution. The second one, apply the chain rule.
  4. Jan 14, 2010 #3


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    Re: Integral and Derivative Help!!!

    The third one is a simple substitution as well. You could also do it with a trig substitution.
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