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11.5 Integration by Substitution

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Question 43

The power consumption $P$ (in kilowatts) of a high-precision robotic arm during its activation phase is modeled by the function

\frac{12t^3}{(t^2 + 2)^4}

where $t$ is the time in seconds for $\le t \le 2$ .

Use the substitution $u = t^2 + 2$ to show that the total energy $E$ consumed by the arm during this 2-second phase, defined by $\int_{0}^{2} P(t) \, dt$ , is exactly $527\frac{5}{27}$ units.

[5]

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 43

The power consumption $P$ (in kilowatts) of a high-precision robotic arm during its activation phase is modeled by the function

\frac{12t^3}{(t^2 + 2)^4}

where $t$ is the time in seconds for $\le t \le 2$ .

Use the substitution $u = t^2 + 2$ to show that the total energy $E$ consumed by the arm during this 2-second phase, defined by $\int_{0}^{2} P(t) \, dt$ , is exactly $527\frac{5}{27}$ units.

[5]

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.