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Applications of integral calculus — Question 210

Original QCE Vault practice · 5 marks

Q210 · Practice questionTechnology-freeComplex familiar5 marks

QUESTION 210 (5 marks)

A decorative shade uses the region R between y=exy=e^x and y=e−xy=e^{-x} on 0≤x≤ln⁡20\le x\le\ln2.
Hatched region between exp(x) and exp(-x) from 0 to ln(2).
a)
Determine the exact area.
[2 marks]
b)
Determine exact volume when R rotates about the x-axis.
[3 marks]
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