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< Exercises

Fundamental theorem of calculus

g(x)=∫ 1 x2t+7 dt \displaystyle g(x) = \int_{\,1}^{\,x}\sqrt{2t+7}\,dt\,
g ′(9) =\displaystyle g\,^\prime(9)\, =
  • Your answer should be
  • an integer, like 66
  • an exact decimal, like 0.750.75
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4