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11.5 Integration by Substitution

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Question 28

Find

\int x^2e^{2x} \, dx

[4]

ii.

Use the substitution $\sqrt{2x + 1}$ to show that

\int \frac{12x}{\sqrt{2x + 1}} \, dx = 2(2x + 1)^{\frac{1}{2}}(Ax + B) + k

where $A$ and $B$ are integers to be found and $k$ is an arbitrary constant.

[6]

Markscheme

11.5 Integration by Substitution Questions

A Level
Maths
11.5 Integration by Substitution

59 exam-style questions on Edexcel A Level Maths 11.5 Integration by Substitution. Each one has a worked solution and a mark scheme showing where the marks go.

11.5 Integration by Substitution

Question bank

11.5 Integration by Substitution

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52

Question 28

Find

\int x^2e^{2x} \, dx

[4]

ii.

Use the substitution $\sqrt{2x + 1}$ to show that

\int \frac{12x}{\sqrt{2x + 1}} \, dx = 2(2x + 1)^{\frac{1}{2}}(Ax + B) + k

where $A$ and $B$ are integers to be found and $k$ is an arbitrary constant.

[6]

Markscheme

11.5 Integration by Substitution Questions

A Level
Maths
11.5 Integration by Substitution

59 exam-style questions on Edexcel A Level Maths 11.5 Integration by Substitution. Each one has a worked solution and a mark scheme showing where the marks go.