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AP®︎/College Calculus BC

Course: AP®︎/College Calculus BC > Unit 6

Lesson 4: The fundamental theorem of calculus and accumulation functions
Math
AP®︎/College Calculus BC
Integration and accumulation of change
The fundamental theorem of calculus and accumulation functions
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Functions defined by definite integrals (accumulation functions)

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

Problem

The graph of function g is shown below. Let h, left parenthesis, x, right parenthesis, equals, integral, start subscript, minus, 5, end subscript, start superscript, x, end superscript, g, left parenthesis, t, right parenthesis, d, t.
Evaluate h, left parenthesis, 0, right parenthesis.
h, left parenthesis, 0, 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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