IB Mathematics Analysis and Approaches Quiz
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CALCULUS
Question 1
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Using the substitution
u
=
cos
θ
u = \cos \theta
u
=
cos
θ
, which of the following integrals is equivalent to
∫
sin
3
θ
d
θ
\int \sin^3 \theta \, d\theta
∫
sin
3
θ
d
θ
?
A
∫
(
1
−
u
2
)
d
u
\int (1-u^2) \, du
∫
(
1
−
u
2
)
d
u
B
∫
(
u
2
−
1
)
d
u
\int (u^2-1) \, du
∫
(
u
2
−
1
)
d
u
C
∫
−
u
2
d
u
\int -u^2 \, du
∫
−
u
2
d
u
D
∫
u
1
−
u
2
d
u
\int u \sqrt{1-u^2} \, du
∫
u
1
−
u
2
d
u
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