361 views
0 votes
0 votes
$\int_{- \pi }^{\pi} t^{2} \sin t \ dt$

1 Answer

Best answer
3 votes
3 votes

See the basic property :

-a∫ a  f(x)  dx =   0 , f(x) is odd

                  =  2 0a f(x) dx

So here :

The function f(x)  =  x2 sinx  is odd as we know product of odd function and even function is odd function only..

Therefore the given integral value =  0.

Hence  0 is correct answer.. 

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