3 marksIntegration
CAPE Integrated Mathematics · 2016 · Paper 2 · Question 6(a)(i)
Determine the integral: int (4x + 7)^6 dx.
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Practise this questionOther parts of this question
- 6(a)(ii)Determine the integral: int (5x^3 - 3x^2 + 1) dx.[2 marks]
- 6(b)Evaluate the definite integral int_0^(pi/2) (cos x + 2 sin x) dx.[4 marks]
- 6(c)(i)Show that P satisfies the equation P(t) = e^(kt + c).[4 marks]
- 6(c)(ii)When t = 0, P = 4000. Calculate the value of c.[2 marks]
- 6(c)(iii)Given that k = ln 2, determine the population size when t = 3.[3 marks]
- 6(d)(i)Find the value of Q.[3 marks]
- 6(d)(ii)Using integration, determine the area reserved for agricultural activities. Give your answer to the nearest whole number.[4 marks]
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