IB Maths AI HL 5.11 Further integration Question Bank
Practise IB Mathematics HL 5.11 by applying further integration methods to exam-style questions.
- Syllabus
- First assessment 2021
- Course
- Mathematics: applications and interpretation HL
- Level
- HL
Exam points
- identify the mathematical structure, variable or representation
- select and apply the correct theorem, formula or algorithm
- check the result using units, domain, graph or logical reasoning
AHL 5.11 (HL)—Further integration question 1
[Maximum number: 4]
Find the indefinite integral ∫xe−x2dx.
A valid/coherent attempt to use substitution:
u=−x2,dxdu=−2x
The integral becomes
−21∫eudu=−21e−x2+c
Accept integration by inspection using dxd(e−x2)=−2xe−x2.
Note: Award M1A1M1A0 for −21e−x2 with c omitted.
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