Page 53 - Math SL HB Sem 2

PAPER I (INTf,GRATION)

l. Let
J':11*ya,=rz.

5
(a) Showthat f (x)dx=- a.
J
(2)

(b) Find the value or
J,'(r+/(,))a,*J'G*/t,))a..
(s)
(Total 7 marks)

2. A particle moves along a straight line so that its velocity, v ms-l at time , seconds is given by v

= 6e3r + 4.-When t = 0, the displacement, r, ofthe particle is 7 metres. Find an expression for s
in terms of t.
(Total 7 marks)

I
3. (a) Find I 2x+3 ar.

(2)

I
I 2x +3
(b) Given that dt =ln JF ,find the value ofp.
(4)
(fotal 6 marks)

4, The fotlowing diagram shows part of the graph ofy : cos x for 0 ! x ! 2tt. RegionsAandBare
shaded.

I

4ft
3

2

(a) Write down an ofA.
,n (t)
I lx
A 14 ^
\o

c- x1
fi1,

1