See the basic property :
_{-a}∫ ^{a }f(x) dx = 0 , f(x) is odd = 2 _{0}∫^{a} f(x) dx
_{-a}∫ ^{a }f(x) dx = 0 , f(x) is odd
= 2 _{0}∫^{a} f(x) dx
So here :
The function f(x) = x^{2} 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..
23240 Points
17038 Points
7096 Points
6008 Points
5430 Points
4928 Points
4762 Points
4278 Points
3954 Points
3744 Points
Gatecse
X->YZ , Y->XZ , ...