4PM1/01 Jan 2022, Question 1: Integrating eˣ, Trig and (ax+b)ⁿ
Pearson Edexcel International GCSE Further Pure Mathematics 4PM1 · Paper 1 · Calculator · 4 marks
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The question, in short
Use calculus to evaluate the definite integral of cos 4θ from π/4 to π/3, giving the exact answer in the form −√a/b with a prime and b an integer.
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Solution · 4 marks
- 1∫ cos 4θ dθ = (sin 4θ)/4
- 2= sin(4π/3)/4 − sin(π)/4
- 3= (−√3/2)/4 − 0
- 4= −√3/8
Answer−√3/8
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