1.

ज्ञात करे ` int _(-1)^(1)x^(3) e^(x^(4))dx`

Answer» माना कि ` f (x) = x^(3) e^(x^(4))`
तो , ` f (-x) = (-x)^(3) e^((-x)^(4)) = - x^(3) e^(x^(4)) = - f (x)`
अतः f(x) एक विषम फलन है
` :. int _(-1)^(1) f(x) dx = 0 " या " int _(-1)^(1) x^(3) e^(x^(4)) dx = 0 `


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