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Fill in the blank : If ∫0a3x2⋅dx = 8, then a = _______ - Mathematics and Statistics

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Question

Fill in the blank : If `int_0^"a" 3x^2*dx` = 8, then a = _______

Fill in the Blanks

Solution

`int_0^"a" 3x^2*dx` = 8

∴ `3[x^3/3]_0^"a"` = 8
∴ a3 = 23
∴ a = 2.

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Fundamental Theorem of Integral Calculus
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Chapter 6: Definite Integration - MISCELLANEOUS EXERCISE - 6 [Page 149]

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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 II) 4) | Page 149
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