TMUA 2017 Paper 2 Q11 — Worked Solution

P2·Integration, Functions, Transformations & Graphs·5.5Official · 2017 · Q11

area-transformationvertical-translationdefinite-integral

The function

f (x)

is increasing and

f (0) = 0

. The positive constants

a

and

b

are such that

a < b

.The area of the region enclosed by the curve

y = f (x)

, the

x

-axis and the lines

x = a

and

x = b

is denoted by

R

.The function

g (x)

is defined by

g (x) = f (x) + 2 f (b)

.Which of the following is an expression for the area enclosed by the curve

y = g (x)

, the

x

-axis and the lines

x = a

and

x = b

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