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1.11.2 Integrating standard functions

1.11.2 Integrating standard functions

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Question 98

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

ai.

Explain what is wrong with Alice's answer.

[1]
aii.

Explain what is wrong with Bob's answer.

[2]
b.

Explain why Clara and David's answers are equivalent for certain values of the constants.

[2]
Markscheme

1.11.2 Integrating standard functions Questions

  1. A Level
  2. /Maths
  3. /1.11.2 Integrating standard functions

139 exam-style questions on AQA A Level Maths 1.11.2 Integrating standard functions. Each one has a worked solution and a mark scheme showing where the marks go.

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