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1.9.28 Integration by substitution (other cases) (A-level only)
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Question 51
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Markscheme
Use the substitution
x=3sinθx = 3 \sin \theta
x
=
3
sin
θ
to find the exact value of
∫323221(9−x2)32 dx \int_{\frac{3}{2}}^{\frac{3\sqrt{2}}{2}} \frac{1}{(9 - x^2)^{\frac{3}{2}}} \, dx
∫
2
3
2
3
2
(
9
−
x
2
)
2
3
1
d
x
[6]
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1.9.28 Integration by substitution (other cases) (A-level only) Questions
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1.9.28 Integration by substitution (other cases) (A-level only)
