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Integrate the following w.r.t. x: 2x3-5x+3x+4x5

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Question

Integrate the following w.r.t. x:

`2x^3 - 5x + 3/x + 4/x^5`

Sum
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Solution

`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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Chapter 3: Indefinite Integration - Exercise 3.1 [Page 102]

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