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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Solve the following : ∫491x⋅dx - Mathematics and Statistics

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प्रश्न

Solve the following : `int_4^9 (1)/sqrt(x)*dx`

बेरीज
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उत्तर

Let I = `int_4^9 (1)/sqrt(x)*dx`

= `int_4^9x^(1/2)*dx = [(x^(1/2))/(1/2)]_4^9`

= `2[sqrt(x)]_4^9`

= `2(sqrt(9) - sqrt(4))`

= 2 (3 – 2)
∴ I = 2.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Definite Integration - MISCELLANEOUS EXERCISE - 6 [पृष्ठ १५०]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 6 Definite Integration
MISCELLANEOUS EXERCISE - 6 | Q IV) 6) | पृष्ठ १५०
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