Worksheet: Definite Integrals

In this worksheet, we will practice evaluating definite integrals.

Q1:

Evaluate 4 𝑥 𝑥 2 7 1 2 3 d .

Q2:

Evaluate 4 5 𝑡 + 3 4 𝑡 2 3 𝑡 𝑡 1 0 3 2 d .

  • A 1 4 0
  • B 5 3 6 0
  • C 7 6 0
  • D 7 6 0
  • E 5 3 6 0

Q3:

Evaluate 8 𝑣 + 1 2 𝑣 + 3 𝑣 1 0 7 3 d .

Q4:

Evaluate 5 𝑒 𝑥 3 3 d .

  • A0
  • B 1 5 𝑒
  • C 3 0 𝑒
  • D 3 0 𝑒
  • E 1 5 𝑒

Q5:

Determine 6 𝑥 3 d 𝑥 .

Q6:

Determine 3 𝑥 3 𝑥 + 1 𝑥 1 0 2 2 d .

  • A54
  • B 9
  • C486
  • D 3 2

Q7:

Let 𝑓 ( 𝑥 ) = 6 𝑥 + 1 2 . Evaluate the definite integral of 𝑓 from 𝑥 = 2 to 𝑥 = 3 .

Q8:

Evaluate ( 𝑢 + 2 ) ( 𝑢 + 1 ) 𝑢 1 2 d .

  • A 1 1 2
  • B6
  • C 6
  • D 9 2
  • E 9 2

Q9:

Evaluate 𝑥 𝑥 1 1 8 8 d .

  • A0
  • B 1 8 9
  • C 1 4 4
  • D 2 8 9
  • E 1 8 8

Q10:

Let Determine 𝑓 ( 𝑥 ) 𝑥 3 1 d .

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