≤ft( {x} - {1}{{x}} )² dx - NCERT Class XII Mathematics Chapter ...

NCERT Class XII Mathematics Chapter - - Solutions

Find the following integrals in Exercises 6 to 20.

Question : 10 of 271

Marks: +1, -0

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

Solution:

Let

I = \int \left( \sqrt{x} - \frac{1}{\sqrt{x}} \right)^{2} dx

= \int \left( x + \frac{1}{x} - 2 \right) dx

= \frac{x^{2}}{2} + \log x - 2x + C

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