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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Evaluate: ∫01(x+1)2 dx - Mathematics and Statistics

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प्रश्न

Evaluate: `int_0^1(x + 1)^2  "d"x`

बेरीज
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उत्तर

`int_0^1(x + 1)^2  "d"x = [(x + 1)^3/3]_0^1`

= `1/3[(1 + 1)^3 - (0 + 1)^3]`

= `1/3(8 -1)`

= `7/3`

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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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