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प्रश्न
Integrate the following w.r.t. x : `int x^2(1 - 2/x)^2 dx`
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उत्तर
`int x^2(1 - 2/x)^2 dx`
= `int x^2 (1 - 4/x + 4/x^2)dx`
= `int (x^2 - 4x + 4)dx`
= `intx^2 dx - 4 int x dx + 4 int 1 dx`
= `x^3/(3) - 4(x^2/2) + 4x + c`
= `(1)/(3)x^3 - 2x^2 + 4x + c`.
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