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

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प्रश्न

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

बेरीज

उत्तर

`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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पाठ 3: Indefinite Integration - Exercise 3.1 [पृष्ठ १०२]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 12 Standard HSC Maharashtra State Board
पाठ 3 Indefinite Integration
Exercise 3.1 | Q 3.02 | पृष्ठ १०२

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