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Further integration — Question 292

Original QCE Vault practice · 5 marks

Q292 · Practice questionTechnology-freeComplex familiar5 marks

QUESTION 292 (5 marks)

A light sculpture has vertical profile

y=2\sin x-1

for

0\leq x\leq\pi

.

Graph of y=2 sin(x)-1 on [0,pi]. Areas above and below the horizontal axis are hatched.

a)

Determine where the profile crosses the

x

-axis.

[1 mark]

b)

Determine the exact area between the profile and the

x

-axis.

[4 marks]

Question linkSyllabus coverage

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