Apps. and Interpretation for IBDP Maths Ebook 1 | Page 224

Your Practice Set – Applications and Interpretation for IBDP Mathematics
2. Consider the integral
0.8
4d x
0.5
�
x . The value of this integral is estimated by trapezoidal rule
with n trapeziums, such that the width of each trapezium is 0.1.
(a) Find the value of n .
(b) Find an estimate of
0.8
4d x
0.5
� x .
[2]
[3]
3. Consider the integral
6
e x
a
�
d x . The value of this integral is estimated by trapezoidal rule
with 6 trapeziums, such that the width of each trapezium is 0.4.
(a) Find the value of a .
(b)
Hence, find an estimate of
6
e x
a
� d x .
[2]
[3]
1
4. Consider the function f( x)
� 2x
for x � 0 . The area of the region enclosed by the graph
of f , the line x� b, the x -axis and the line x � 2 , where b � 2 , is estimated by
trapezoidal rule with 8 trapeziums, such that the width of each trapezium is 0.25.
(a) Write down the integral representing the area of the region.
(b) Find the value of b .
(c) Hence, find an estimate of area of the region.
[1]
[2]
[3]
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