Recent content by clifftan

  1. C

    How to change ∅ in term of x? (integration by trigonometry substitution)

    the question is ∫dx/ x^2*√(x^2-1) I use x=a sec ∅ x^2*√(x^2-1)= sec^2∅tan∅ x=sec ∅ dx= sec∅tan∅d∅ so it will become something like this ∫sec∅tan∅d∅/sec^2∅tan∅= ∫1/sec∅d∅=∫cos∅d∅ =sin∅+c But how can i change this sin in...
  2. C

    How to convert sin2∅ in trigonometry substituion.

    the question is ∫ √(y^2-25)/y^3 dy.. I did found the answer which is 1/5 sec^-1(y/5)-sin2∅/20-∅/10 But mine tutorial answer is 1/5 sec^-1(y/5)- √(y^2-25)/2y^2+c i don't know how to convert the behind part sin2∅/20-∅/10 into √(y^2-25)/2y^2
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