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JEE Main 3 Apr 2025 Shift 1 Paper

Section: Mathematics
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Question : 19 of 75
 
Marks: +1, -0
Let g be a differentiable function such that
x
∫
0
g(t)‌dt=x−
x
∫
0
tg(t)‌dt,x≥0 and let y=y(x) satisfy the differential equation ‌
dy
dx
−y‌tan‌x=2(x+1) secxg(x),x∈[0,‌
Ï€
2
). If y(0)=0, then y(‌
Ï€
3
) is equal to
[3 Apr 2025 Shift 1]
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