Four students, Alice, Bob, Clara, and David are attempting to find the indefinite integral
∫ex dx \int e^x \, dx ∫exdxEach 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 Integration with exam-style questions for A Level Maths. 437 questions covering 11.1 Integrating Standard Functions, 11.2 Integrating f(ax + b), 11.3 Using Trigonometric Identities, 11.4 Reverse Chain Rule, 11.5 Integration by Substitution, 11.6 Integration by Parts, 11.7 Partial Fractions, 11.8 Finding Areas, 11.9 The Trapezium Rule, 11.10 Solving Differential Equations, and 11.11 Modelling with Differential Equations, 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.
