anonymous
  • anonymous
An antiderivative of 3x^2/(2x^3-5) is:
Mathematics
schrodinger
  • schrodinger
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hba
  • hba
take its integral
slaaibak
  • slaaibak
\[3x^2 \over 2x^3 - 5\] ?
slaaibak
  • slaaibak
Integrate by substitution.

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anonymous
  • anonymous
is look a quotant rule to me
slaaibak
  • slaaibak
no. it's integration, not differentiation
campbell_st
  • campbell_st
this is a log function let u = 2x^3 - 5 du/dx = 6x^2 1/2 du = 3x^2 so you are finding the antiderivative of \[\frac{1}{2} \int\limits \frac{du}{u} = \frac{1}{2} \ln( u) + c\]

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