Maharashtra State BoardHSC Commerce 12th Board Exam
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Choose the correct alternative from the following. ∫1-x2dx = - Mathematics and Statistics

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MCQ

Choose the correct alternative from the following.

`int sqrt(1 - "x"^2) "dx"` =

Options

  • `"x"/2 sqrt(1 + "x"^2) + 1/2 log ("x" + sqrt(1 + "x"^2))`+c

  • `2/3 (1 + "x"^2)^(3/2) + "c"`

  • `1/3 (1 + "x"^2)` + c

  • `("x")/sqrt(1 + "x"^2)` + c

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Solution

`"x"/2 sqrt(1 + "x"^2) + 1/2 log ("x" + sqrt(1 + "x"^2))`+c

Concept: Methods of Integration: Integration by Substitution
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 5 Integration
Miscellaneous Exercise 5 | Q 1.02 | Page 137
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