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प्रश्न
Integrate the following w.r.t. x:
`2x^3 - 5x + 3/x + 4/x^5`
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उत्तर
`int(2x^3 - 5x + 3/x + 4/x^5)dx`
= `2intx^3 dx - 5 int x dx + 3 int1/x dx + 4 int x^-5 dx`
= `2(x^4/4) - 5(x^2/2) + 3 log |x| + 4(x^-4/(-4)) + c`
= `x^4/(2) - (5)/(2) x^2 + 3 log |x| - (1)/x^4 + c`
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