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First, let's determine if the function f(x) is odd or even. A function is even if f(−x)=f(x). A function is odd if f(−x)=−f(x). Let's evaluate f(−x): f(−x)=(−x)2sin(−x) f(−x)=x2(−sinx) f(−x)=−x2sinx f(−x)=−f(x) Since f(−x)=−f(x), the functionf(x) = x2sin(x)is an odd function. For an odd function f(x), the definite integral over a symmetric interval [−a, a] is always zero: 
Therefore, the correct answer is option (D).
14, 20, ?, 50, 74, 104
40 41 37 46 ? 55 19
...?, 32, 75, 144, 245, 384
What will come in the place of questions (?) mark in the following questions.
1204, 1218, ? , 1267, 1302, 1344
115% of 800 - 4/5 of 320 + 82% of 700 = ? – 102% of 500
5, 18, 39, ?, 105, 150
14 20 28 39 ? 74
Which of the following number will replace the question mark (?) and complete the given number series?
4, 5, 12, 39, 160, ?
18, 21, 45, 138, 555, ?
10 11 12 20 24 ?
