Evaluate definite integrals
12th grade (Year 13 in England) · 16 questions · Common Core: HSF.IF.B.6 · England: A-level Pure Mathematics
Name
Date
Score/ 16
Question 1
Evaluate ∫ from 1 to 3 of (9x² + 2) dx.
Answer
Question 2
Evaluate ∫ from 1 to 3 of (3x² + 3x) dx. Give an exact answer (a fraction is fine).
Answer(as a fraction)
Question 3
Evaluate ∫ from 2 to 3 of (12x² + 2) dx.
Answer
Question 4
Evaluate ∫ from −2 to -1 of (2x² − 4x) dx. Give an exact answer (a fraction is fine).
Answer(as a fraction)
Question 5
Evaluate ∫ from 2 to 5 of (3x² − 3) dx.
Answer
Question 6
Evaluate ∫ from −1 to 0 of (x² + 2x) dx. Give an exact answer (a fraction is fine).
Answer(as a fraction)
Question 7
Evaluate ∫ from 2 to 5 of (3x² − 2) dx.
Answer
Question 8
Evaluate ∫ from −2 to -1 of (3x² − 3x) dx. Give an exact answer (a fraction is fine).
Answer(as a fraction)
Question 9
Evaluate ∫ from 0 to 2 of (6x² − 4) dx.
Answer
Question 10
Evaluate ∫ from 1 to 3 of (2x² − x) dx. Give an exact answer (a fraction is fine).
Answer(as a fraction)
Question 11
Evaluate ∫ from 2 to 5 of (9x² − 3) dx.
Answer
Question 12
Evaluate ∫ from 0 to 2 of (2x² − 2x) dx. Give an exact answer (a fraction is fine).
Answer(as a fraction)
Question 13
Evaluate ∫ from 2 to 5 of (3x² + 5) dx.
Answer
Question 14
Evaluate ∫ from −2 to 1 of (3x² − 3x) dx. Give an exact answer (a fraction is fine).
Answer(as a fraction)
Question 15
Evaluate ∫ from 0 to 3 of (6x² + 3) dx.
Answer
Question 16
Evaluate ∫ from 1 to 3 of (3x²) dx. Give an exact answer (a fraction is fine).
Answer(as a fraction)
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