Question:medium
The value of \( \int_{0}^{\pi/3} \frac{4 - \cos x \sec^3 x}{\cos^3 x} \, dx \) (or equivalent form) is:
The value of \( \int_{0}^{\pi/3} \frac{4 - \cos x \sec^3 x}{\cos^3 x} \, dx \) (or equivalent form) is:
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Whenever you see a combination of \( \sec^n x \) and \( \sec^{n-2} x \), check if it is the result of differentiating \( \sec^{n-2} x \tan x \).
Updated On: Apr 6, 2026
- \( \frac{32\sqrt{3}}{3} \)
- \( \frac{32\sqrt{3}}{9} \)
- \( \frac{64\sqrt{3}}{3} \)
- \( \frac{64\sqrt{3}}{9} \)
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The Correct Option is B
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