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AP®︎/College Calculus AB

Course: AP®︎/College Calculus AB > Unit 6

Lesson 4: The fundamental theorem of calculus and accumulation functions
Math
AP®︎/College Calculus AB
Integration and accumulation of change
The fundamental theorem of calculus and accumulation functions
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Finding derivative with fundamental theorem of calculus

AP.CALC: FUN‑5 (EU), FUN‑5.A (LO), FUN‑5.A.1 (EK), FUN‑5.A.2 (EK)
Google Classroom

Problem

g, left parenthesis, x, right parenthesis, equals, integral, start subscript, 1, end subscript, start superscript, x, end superscript, left parenthesis, 3, t, squared, plus, 4, t, right parenthesis, d, t
g, prime, left parenthesis, 2, right parenthesis, 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
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