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AP®︎/College Calculus BC

Course: AP®︎/College Calculus BC > Unit 6

Lesson 14: Integrating using linear partial fractions
Math
AP®︎/College Calculus BC
Integration and accumulation of change
Integrating using linear partial fractions
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Integration with partial fractions

AP.CALC: FUN‑6 (EU), FUN‑6.F (LO), FUN‑6.F.1 (EK)
Google Classroom

Problem

Find the values of P and Q that make the following equality true.
integral, start fraction, 1, minus, 2, x, divided by, left parenthesis, x, plus, 1, right parenthesis, left parenthesis, x, minus, 5, right parenthesis, end fraction, d, x, equals, P, dot, start text, l, n, end text, vertical bar, x, plus, 1, vertical bar, plus, Q, dot, start text, l, n, end text, vertical bar, x, minus, 5, vertical bar, plus, C
P, 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
Q, 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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