Question:medium
If \( \int f(x)\cos x \, dx = \frac{1}{2}\{f(x)\}^2 + c \), then \( f\left(\frac{\pi}{2}\right) \) is
If \( \int f(x)\cos x \, dx = \frac{1}{2}\{f(x)\}^2 + c \), then \( f\left(\frac{\pi}{2}\right) \) is
Show Hint
When a function is inside an integral identity, differentiate both sides to recover a differential equation for the function.
Updated On: May 1, 2026
- \( c \)
- \( \frac{\pi}{2} + c \)
- \( c + 1 \)
- \( 2\pi + c \)
- \( c + 2 \)
Show Solution
The Correct Option is C
Solution and Explanation
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