Question
Solution
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).
Select the number from the given option that can replace the question mark [?] in the following series.
515, 517, 520, 525, 532, 543, 556, ?
What will come in the place of question mark?
Select the number from the given option that can replace the question mark (?) in the following series:
32, 16, 24, 60, ?, 945
Study the given pattern carefully and select the number that can replace the question mark (?) in it.
First row: 14, 12, 108
Second row:...
- Study the given pattern carefully and select the number that can replace the question mark [?] in it.
First row: 10, 6, 964
Second row: 7, 3... Study the given pattern carefully and select the number from among the given options that can replace the question mark (?).
Find the missing number.
Find the missing term in the given series:
4      3.5      ?           22.875               ...
In the following question, select the missing number from the given alternatives.
45, 15, 60, 75, 135, ?
Select the related word/letters/number from the given alternatives.
LHX: OEA : : PFT : ?
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