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int pi 2 pi 2 sin x dx text equals to
Question:
\[ \int_{-\pi/2}^{\pi/2} |\sin x| dx \text{ equals to} \]
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The Lande interval rule determines energy level separations in multiplets.
IPU CET - 2016
IPU CET
Updated On:
June 02, 2025
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The Correct Option is
D
Solution and Explanation
\(|\sin x|\) is an even function, symmetric about y-axis. \[ \int_{-\pi/2}^{\pi/2} |\sin x| dx = 2 \int_0^{\pi/2} \sin x dx = 2 [-\cos x]_0^{\pi/2} = 2 (0 + 1) = 2 \]
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