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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).
A Neighbourhood Officer will (A)/call off to your home (B)/within three weeks (C)/of your registration (D).
In the question below, a sentence is given, divided into five parts (A) , (B) , (C) , (D) and (E) . One of the parts is grammatically incorrect or has ...
She is (A)/ waiting on the line(B) to speak (C)/with the manager.(D)
Granted, with the roll call (A)/of the most industrious pieces of (B)/golf real estate on their books (C)/they've already got a bit of a head start (D)....
In the past little months, people have been booked in isolated incidents in different States for the content they shared on messaging and social med...
In the below question, a sentence is given, divided into five parts (A), (B), (C), (D) and (1). There is an error in one of the parts, which makes the s...
Find out the appropriate word.
Find the appropriate answer.
India's power demand is expect to soar (1)/in summer, with weather officials forecasting (2)/maximum temperatures above normal in April (3)/in many nort...
X. A decade-long experiment with hybrid democracy ended abruptly, paving the way at violence, oppression and instability.
1. This line was rei...
