Recent content by hpnhpluv

  1. H

    Partial fractions to determine antiderivative of sec x

    Ahh, I see now! I got it! Thank you so incredibly much for your help! And you are right, I am tired. It's been a long week...
  2. H

    Partial fractions to determine antiderivative of sec x

    Ok, so I got the denominator to be cos^2(x), which I know is correct. My numerator is (1+sinx)*(1+sinx)^(1/2). I know this has to equal sin(x). I just don't see how... Thank you for being so patient with me. :smile:
  3. H

    Partial fractions to determine antiderivative of sec x

    By completing the square? I'm not quite sure how to do that in this case...
  4. H

    Partial fractions to determine antiderivative of sec x

    I know 1/2ln ((1+sinx)/(1-sinx)) is equivalent to saying ln ((1+sinx)/(1-sinx))^1/2...
  5. H

    Partial fractions to determine antiderivative of sec x

    When I fixed my solution, I got 1/2*ln((1+sinx)/(1-sinx)). Does that look right?
  6. H

    Partial fractions to determine antiderivative of sec x

    Oh, didn't see your last reply. Thanks. :)
  7. H

    Partial fractions to determine antiderivative of sec x

    Ok...so the integral in question should have been -ln(1-u)?
  8. H

    Partial fractions to determine antiderivative of sec x

    Homework Statement Derive a formula for the antiderivative of sec x using the identity that sec x= cos x/ (1-sin^2x). Use a substitution for sin x and then partial fractions. Then multiply the solution by (1+sin x)/ (1+sin x) to obtain the more familiar formula for the antiderivative...
  9. H

    Applying the work-energy theorem

    Homework Statement Use the work-energy theorem to solve. A branch falls from the top of a 95 m tall tree, starting from rest. How fast is it moving when it reaches the ground? Neglect air resistance. Homework Equations work-energy theorem:w_total=K_2-K_1 In this problem, K_1 is 0 since it is...
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