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11.1 Integrating Standard Functions

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Question 48

Four students, Alice, Bob, Clara, and David are attempting to find the indefinite integral

\int e^x \, dx

Each of the students' proposed results is shown below:

Alice: $dx=ex\int e^x \, dx = e^x$

Bob: $dx=Cex\int e^x \, dx = C e^x$

Clara: $dx=ex+k\int e^x \, dx = e^{x+k}$

David: $dx=ex+c\int e^x \, dx = e^x + c$

ai.

Explain what is wrong with Alice's answer.

[1]

aii.

Explain what is wrong with Bob's answer.

[2]

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

[2]

Markscheme

11.1 Integrating Standard Functions Questions

A Level
Maths
11.1 Integrating Standard Functions

80 exam-style questions on Edexcel A Level Maths 11.1 Integrating Standard Functions. Each one has a worked solution and a mark scheme showing where the marks go.

11.1 Integrating Standard Functions

Question bank

11.1 Integrating Standard Functions

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Question 48

Four students, Alice, Bob, Clara, and David are attempting to find the indefinite integral

\int e^x \, dx

Each of the students' proposed results is shown below:

Alice: $dx=ex\int e^x \, dx = e^x$

Bob: $dx=Cex\int e^x \, dx = C e^x$

Clara: $dx=ex+k\int e^x \, dx = e^{x+k}$

David: $dx=ex+c\int e^x \, dx = e^x + c$

ai.

Explain what is wrong with Alice's answer.

[1]

aii.

Explain what is wrong with Bob's answer.

[2]

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

[2]

Markscheme

11.1 Integrating Standard Functions Questions

A Level
Maths
11.1 Integrating Standard Functions

80 exam-style questions on Edexcel A Level Maths 11.1 Integrating Standard Functions. Each one has a worked solution and a mark scheme showing where the marks go.