1.

Evaluate \(\int_-\frac{\pi}{2}^\frac{\pi}{2} \mathrm{x^2sinx}\,\mathrm{d}x\) 

Answer»

∵ f(x) is an odd function 

∴ \( \int_-\frac{\pi}{2}^\frac{\pi}{2} \mathrm{x^2sinx}\,\mathrm{d}x\) = 0 



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