Four students, Alice, Bob, Clara, and David are attempting to find the indefinite integral
∫ex dx\int e^x \, dx∫exdx
Each of the students' proposed results is shown below:
Alice: ∫ex dx=ex\int e^x \, dx = e^x ∫exdx=ex
Bob: ∫ex dx=Cex\int e^x \, dx = C e^x ∫exdx=Cex
Clara: ∫ex dx=ex+k\int e^x \, dx = e^{x+k} ∫exdx=ex+k
David: ∫ex dx=ex+c\int e^x \, dx = e^x + c ∫exdx=ex+c
Explain what is wrong with Alice's answer.
Explain what is wrong with Bob's answer.
Explain why Clara and David's answers are equivalent for certain values of the constants.
Practise Edexcel A Level Maths 11.1 Integrating Standard Functions with exam-style questions for A Level Maths. 81 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.