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x2 Let x = 3 sinθ dx = 3 cosθ dθ = ∫ 9 sin2 θ 3 cosθ dθ 3 cosθ = 9 2

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3.
x2 dx
√
Let x = 3 sin θ
9 − x2
d x = 3 cos θ dθ
Z
2
9 sin θ 3 cos θ dθ
=
3 cos θ
9
= (θ − sin θ cos θ ) + C
2
x
1 p
9
= sin−1 − x 9 − x 2 + C.
2
3 2
Z
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