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The fundamental theorem of calculus and definite integrals

AP.CALC: FUN‑6 (EU), FUN‑6.B (LO), FUN‑6.B.1 (EK), FUN‑6.B.2 (EK), FUN‑6.B.3 (EK)


G(x)=3xg(x)=G(x)\begin{aligned} &G(x)=\sqrt{3x} \\\\ &g(x)=G'(x) \end{aligned}
integral, start subscript, 3, end subscript, start superscript, 12, end superscript, g, left parenthesis, x, right parenthesis, d, x, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text