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Evaluate the following integrals : ∫4x+32x+1.dx - Mathematics and Statistics

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Question

Evaluate the following integrals : `int(4x + 3)/(2x + 1).dx`

Sum

Solution

`int(4x + 3)/(2x + 1).dx`

= `int((2(2x + 1) + 1))/(2x + 1).dx`

= `int ((2(2x + 1))/(2x + 1) + 1/(2x + 1)).dx`

= `2 int 1 dx + int 1/(2x + 1).dx`

= `2x + (1)/(2) log|2x + 1| + c`.

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

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