Question:medium
\( \int \left(\sqrt{x} + \frac{1}{\sqrt{x}}\right)^2 dx = \)
\( \int \left(\sqrt{x} + \frac{1}{\sqrt{x}}\right)^2 dx = \)
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Always expand before integrating when squares are involved.
Updated On: May 8, 2026
- \( \frac{x^2}{2} + 2x + \log|x| + C \)
- \( \frac{x^2}{2} + 2 + \log|x| + C \)
- \( \frac{x^2}{2} + x + \log|x| + C \)
- \( \frac{x^2}{2} + 2x + 2\log|x| + C \)
- \( \frac{x^2}{2} - 2x + \log|x| + C \)
Show Solution
The Correct Option is A
Solution and Explanation
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