Question:medium
The value of the definite integral \( \int_0^{2\pi} \sqrt{1 + \sin \frac{x}{2}}\, dx \) is
The value of the definite integral \( \int_0^{2\pi} \sqrt{1 + \sin \frac{x}{2}}\, dx \) is
Show Hint
Convert square root trig expressions into perfect squares whenever possible.
Updated On: Apr 30, 2026
- \(1/4\)
- \(1/2\)
- \(3/4\)
- \(1\)
- \(5/4\)
Show Solution
The Correct Option is D
Solution and Explanation
Was this answer helpful?
0
Top Questions on Definite Integral
- Evaluate the definite integral: \( \int_{-2}^{2} |x^2 - x - 2| \, dx \)
- MHT CET - 2025
- Mathematics
- Definite Integral
- The value of the integral: \[ I = \int_0^3 \frac{dx}{\sqrt{9 - x^2}} \] is:
- CBSE Class XII - 2024
- Mathematics
- Definite Integral
- Evaluate \( \int_0^{\pi/4} \frac{x}{1+\cos 2x + \sin 2x} \, dx \).
- CBSE Class XII - 2024
- Mathematics
- Definite Integral
- The value of \(\lim_{{n \to \infty}} \sum_{{k=1}}^{n} \frac{n^3}{{(n^2 + k^2)(n^2 + 3k^2)}}\) is
- JEE Main - 2024
- Mathematics
- Definite Integral
- Want to practice more? Try solving extra ecology questions todayView All Questions
