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Solve the following : ∫12x2⋅dx - Mathematics and Statistics

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Question

Solve the following : `int_1^2 x^2*dx`

Sum

Solution

Let I = `int_1^2 x^2*dx`

= `[x^3/3]_1^2`

= `(1)/(3) (2^3 - 1^3)`

= `(1)/(3)(8 - 1)`

∴ I = `(7)/(3)`.

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Fundamental Theorem of Integral Calculus
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Chapter 6: Definite Integration - MISCELLANEOUS EXERCISE - 6 [Page 150]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
Chapter 6 Definite Integration
MISCELLANEOUS EXERCISE - 6 | Q IV) 12) | Page 150
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