Maharashtra State BoardHSC Commerce 12th Board Exam
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Choose the correct alternative : If ∫0a3x2⋅dx = 8, then a = ? - Mathematics and Statistics

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MCQ

Choose the correct alternative :

If `int_0^"a" 3x^2*dx` = 8, then a = ?

Options

  • 2

  • 0

  • `(8)/(3)`

  • a

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Solution

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

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

Concept: Fundamental Theorem of Integral Calculus
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 6 Definite Integration
Miscellaneous Exercise 6 | Q 1.05 | Page 149
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