anonymous
  • anonymous
Find f(x) if:
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
\[f \prime (x) = 7/ x^4 and f (1) = 4. \]
anonymous
  • anonymous
f′(x)=7/x4 and f(1)=4 ?
anonymous
  • anonymous
You just need to integrate f'(x), without forgetting the constant of integration, and then put in the know values to find it, giving you the complete f(x)

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anonymous
  • anonymous
\[\int\limits_{}^{}7/x^4dx = 7\int\limits_{}^{}1/x^4dx = 7\int\limits_{}^{}x^-4dx\]
anonymous
  • anonymous
that last one is x to the negative fourth. If you can integrate that, you should be fine

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