Question:medium
The value of \( \int_0^{2\pi} (\sin^4 x + \cos^4 x) \, dx \) is equal to:
The value of \( \int_0^{2\pi} (\sin^4 x + \cos^4 x) \, dx \) is equal to:
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For integrals of \( \sin^{2n}x + \cos^{2n}x \) over \( [0, 2\pi] \), always use the identity \( (a+b)^2 - 2ab \) to reduce the power of the trigonometric functions.
Updated On: Apr 3, 2026
- \( 15\pi \)
- \( \frac{15\pi}{2} \)
- \( 25\pi \)
- \( \frac{3\pi}{2} \)
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The Correct Option is D
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