6 marksIntegration I
CAPE Pure Mathematics Unit 1 · May/June 2010 · Paper 2 · Question 5(c)(i)
Evaluate ∫ from -1 to 1 of (x - 1/x)² dx.
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Practise this questionOther parts of this question
- 5(a)(i)Find lim x→3 of (x²-9) / (x³-27).[4 marks]
- 5(a)(ii)Find lim x→0 of (tan x - 5x) / (sin 2x - 4x).[5 marks]
- 5(b)(i)a)Find lim x→4⁺ of f(x).[2 marks]
- 5(b)(i)b)Find lim x→4⁻ of f(x).[2 marks]
- 5(b)(ii)Deduce that f(x) is discontinuous at x = 4.[2 marks]
- 5(c)(ii)Using the substitution u = x² + 4, or otherwise, find ∫ of x / √(x² + 4) dx.[4 marks]
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