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Worksheet: Definite Integrals of Symmetric Functions

Q1:

The function is odd, continuous on , and satisfies . Determine .

Q2:

The function is odd, continuous on , and satisfies . Determine .

Q3:

The function is even, continuous on , and satisfies and . Determine .

  • A
  • B
  • C
  • D

Q4:

The function is even, continuous on , and satisfies and . Determine .

  • A
  • B6
  • C42
  • D14

Q5:

Determine ο„Έ 7 π‘₯ √ 5 π‘₯ + 5 π‘₯ 2 βˆ’ 2 3 2 d .

Q6:

Determine ο„Έ 9 π‘₯ βˆ’ 6 π‘₯ 2 π‘₯ + 9 π‘₯ 1 βˆ’ 1 3 2 d .