Recent content by hoeranski

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    Difficult integration by parts

    Homework Statement Calculate the following integral with partial integration: \int\frac{1 - x}{(x^2 + 2x + 3)^2}dx The Attempt at a Solution I guess you need to write the integral in easier chunks but I still fail every time.
  2. H

    Calculating Change and Derivatives for a 2 Variable Function

    Yes, I know what they mean, but I didn't know where to start. So Δf should be: Δf = (3.2 - 2.1)/(3.2 + 2.1) - (3 - 2)/(3 + 2) Δf = 1.1/5.3 - 1/5 Δf = 0.007547... And df should be: df = ((2y)/(x+y)^2)*dx + ((2x)/(x+y)^2)*dy Are my attempts correct ?
  3. H

    Calculating Change and Derivatives for a 2 Variable Function

    Homework Statement f(x,y) = (x-y) / (x+y) Calculate Δf and df for the change of point (3,2) to point (3.2, 2.1) Homework Equations The Attempt at a Solution I guess that I have to use limits, but don't know how to begin with.
  4. H

    Difficult indefinite integral (mix of integration by parts and/or substitution)

    Homework Statement I do not know how to solve the following indefinite integral. I personally think it is very difficult and would appreciate it had someone can explain it step by step? Homework Equations / The Attempt at a Solution This integral must been solved by mix of...
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