IB Maths AI HL 5.12 Areas and volumes Question Bank
Practise IB Mathematics HL 5.12 by applying areas and volumes 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 5.12 (HL)—Areas and volumes question 1
[Maximum number: 3]
Hence find the area bounded by the x-axis, the curve y=xe−x2 and the line x=k. Give your answer in terms of k.
Recognition that 0 is the lower limit and substitute both 0 and k into the previous expression.
∫0kxe−x2dx=[−21e−x2]0k=21−21e−k2
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