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State whether the following is True or False : ∫12x3-x+x⋅dx=12 - Mathematics and Statistics

MCQ
True or False

State whether the following is True or False :  `int_1^2 sqrt(x)/(sqrt(3 - x) + sqrt(x))*dx = (1)/(2)`

Options

  • True

  • False

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Solution

`int_"a"^"b" f(x)/(f(x) + f("a" + "b" - x))*dx`

= `(1)/(2)("b" - "a")`
Here, f(x) = `sqrt(x)`, a = 1, b = 2 True.

  Is there an error in this question or solution?
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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 3.06 | Page 150
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