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Find the following integrals: ∫(x -1x)2dx - Mathematics

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Question

Find the following integrals:

`int(sqrtx - 1/sqrtx)^2 dx`

Sum

Solution

Let I = `int (sqrtx - 1/sqrtx)^2  dx`

`I= int (x + 1/x  - 2) dx`

`I = int x dx + int 1/x  dx - 2 int 1  dx`

`I= x^2/2 + log abs x - 2x + C`

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Chapter 7: Integrals - Exercise 7.1 [Page 299]

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NCERT Mathematics [English] Class 12
Chapter 7 Integrals
Exercise 7.1 | Q 10 | Page 299

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