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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Evaluate the following : ∫12x2-5.dx

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प्रश्न

Evaluate the following : `int (1)/sqrt(2x^2 - 5).dx`

बेरीज
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उत्तर

`int (1)/sqrt(2x^2 - 5).dx`

=  `(1)/sqrt(2) int (1)/sqrt(x^2 - 5/2).dx`

= `(1)/sqrt(2) int (1)/sqrt(x^2 - (sqrt(5/2))^2).dx`

= `(1)/sqrt(2) log|x + sqrt(x^2 - 5/2)| + c`.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Indefinite Integration - Exercise 3.2 (B) [पृष्ठ १२३]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 3 Indefinite Integration
Exercise 3.2 (B) | Q 1.06 | पृष्ठ १२३

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