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∫ ( √ X − 1 √ X ) 2 D X - Mathematics

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Sum
\[\int \left( \sqrt{x} - \frac{1}{\sqrt{x}} \right)^2 dx\]
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Solution

\[\int \left( \sqrt{x} - \frac{1}{\sqrt{x}} \right)^2 dx\]
\[ = \int\left( x + \frac{1}{x} - 2 \right)dx\]
` = ∫   x dx + ∫   dx/x - 2\ ∫    x dx`
`= x^2 / 2 + In   | x|  -2 x +C`

Concept: Indefinite Integral Problems
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APPEARS IN

RD Sharma Class 12 Maths
Chapter 19 Indefinite Integrals
Exercise 19.2 | Q 6 | Page 14

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