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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Evaluate: ∫0111-x2 dx - Mathematics and Statistics

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प्रश्न

Evaluate: `int_0^1 1/sqrt(1 - x^2)  "d"x`

बेरीज
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उत्तर

`int_0^1 1/sqrt(1 - x^2)  "d"x = [sin^-1x]_0^1`

= sin–1(1) – sin–1(0)

= `pi/2 - 0`

= `pi/2`

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Methods of Evaluation and Properties of Definite Integral
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पाठ 2.4: Definite Integration - Very Short Answers

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