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Find a function g and a number A such that 4+ integral from A to x g(t) /t^2 dt = 2qt x
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do you mean \[4+\int_A^x{g(t)\over t^2}dt=2qtx\] ?
2 sqaure root of x
\[4+ \int\limits_{A}^{x} \frac{ g(t) }{ t^2 } dt = 2 \sqrt{x}\]
ok. now differentiate the eq. with respect to "x"
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