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Introduction to integration — Question 281

Original QCE Vault practice · 4 marks

Q281 · Practice questionTechnology-freeSimple familiar4 marks

QUESTION 281 (4 marks)

A function satisfies f′(x)=6x2+4e2x−3xf^{\prime}(x)=6x^2+4e^{2x}-\dfrac3x for x>0x>0 and f(1)=2e2f(1)=2e^2.
a)
Determine f(x)f(x).
[3 marks]
b)
Determine f(e)f(e) exactly.
[1 mark]
Question linkSyllabus coverage

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