If \int e^{ \sin x}(1+ \sec x \tan x) \dx=e^{ \sin x} f(x)+c, then in 0 \leq x \leq 2 \pi, the number of solutions of f(x)=1 is [AP EAPCET 21 May 2025 S2]

Indefinite Integration

Section: Mathematics

Question : 21 of 89

Marks: +1, -0

If ∫esin‌x(1+ secx‌tan‌x)‌dx=esin‌xf(x)+c, then in 0≤x≤2π, the number of solutions of f(x)=1 is

[AP EAPCET 21 May 2025 S2]

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