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1.11.5 Integration by substitution and by parts (A-level only)
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Question 73
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Markscheme
Given that
k k\,
k
is a positive constant,
a.
find
∫8x2x2+k dx \int \frac{8x}{2x^2 + k} \, dx
∫
2
x
2
+
k
8
x
d
x
[2]
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3
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b.
Given also that
∫148x2x2+k dx=ln81 \int_{1}^{4} \frac{8x}{2x^2 + k} \, dx = \ln 81
∫
1
4
2
x
2
+
k
8
x
d
x
=
ln
81
find the value of
kk
k
.
[5]
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3
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1.11.5 Integration by substitution and by parts (A-level only) Questions
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1.11.5 Integration by substitution and by parts (A-level only)
