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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Evaluate the following integrals : ∫5x+23x-4.dx

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प्रश्न

Evaluate the following integrals : `int(5x + 2)/(3x - 4).dx`

बेरीज
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उत्तर

`int(5x + 2)/(3x - 4).dx`

= `int(5/3 (3x - 4) + 20/3 + 2)/(3x - 4) dx`

= `int(5/3 (3x - 4) + 26/3)/(3x - 4) dx`

= `int[5/3 + ((26/3))/(3x - 4)] dx`

= `(5)/(3)int 1  dx + (26)/(3) int 1/(3x - 4) dx`

= `(5)/(3)x + (26)/(3).(1)/(3)log|3x - 4| + c`

= `(5)/(3)x + (26)/(9)log|3x - 4| + 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] Standard 12 Maharashtra State Board
पाठ 3 Indefinite Integration
Exercise 3.1 | Q 3.03 | पृष्ठ १०२

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