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3.7.4 Integration (A-level only)

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Question 68

In aerodynamic testing, the drag coefficient $C_D$ of a specialized wing profile is modeled using the following definite integral related to the airflow pressure distribution:

C_D = \int_{\sqrt{2}}^{\sqrt{3}} \frac{12}{(4 - w^2)^{\frac{3}{2}}} \, dw

By using the substitution $\sin \theta$ , determine the exact value of $C_D$ .

[5]

Markscheme

3.7.4 Integration (A-level only) Questions

A Level
Maths
3.7.4 Integration (A-level only)

111 exam-style questions on WJEC A Level Maths 3.7.4 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

3.7.4 Integration (A-level only)

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3.7.4 Integration (A-level only)

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Question 68

In aerodynamic testing, the drag coefficient $C_D$ of a specialized wing profile is modeled using the following definite integral related to the airflow pressure distribution:

C_D = \int_{\sqrt{2}}^{\sqrt{3}} \frac{12}{(4 - w^2)^{\frac{3}{2}}} \, dw

By using the substitution $\sin \theta$ , determine the exact value of $C_D$ .

[5]

Markscheme

3.7.4 Integration (A-level only) Questions

A Level
Maths
3.7.4 Integration (A-level only)

111 exam-style questions on WJEC A Level Maths 3.7.4 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.