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Question 25
Mu
Definite Integrals
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Question
Evaluate
lim
n
→
∞
∫
0
1
x
2
(
1
+
∣
sin
(
n
x
)
∣
)
2
d
x
\displaystyle\lim_{n\to\infty}\int_0^1\frac{x^2}{(1+|\sin(nx)|)^2}\,dx
n
→
∞
lim
∫
0
1
(
1
+
∣
sin
(
n
x
)
∣
)
2
x
2
d
x
.
A.
2
9
π
\frac2{9\pi}
9
π
2
B.
2
3
π
\frac2{3\pi}
3
π
2
C.
4
9
π
\frac4{9\pi}
9
π
4
D.
4
3
π
\frac4{3\pi}
3
π
4
E.
NOTA
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