Ask Question
20 April, 22:14

Find a formula for the function f (x) such that f′ (x) = (ln (x)) ^2/x and f (2) = 6

+5
Answers (1)
  1. 21 April, 01:07
    0
    F (x) = ∫ln²x/x dx = ∫ln²xd (lnx) cause d (lnx) = (lnx) 'dx=1/x dx

    = ln³x/3 + C with C is constant

    In addition, we have f (2) = 6, so we have 6=ln³2/3+C

    or C = 6 - ln³2/3

    And f (x) = ln³x/3 + 6 - ln³2/3
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Find a formula for the function f (x) such that f′ (x) = (ln (x)) ^2/x and f (2) = 6 ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers