Question bank/JEE Main/Mathematics

Let y2x [IMAGE] - x + 1 = 0. If y

A= 3, then the
value of y (e) is equal to

Show answer and solution▾

[IMAGE] integrating [IMAGE] = x + ln x + C
If x = 1; y = 3
9 = 1 - 0 + C ⇒ C = 8
∴ [IMAGE] = x - ln x + 8; Now, when x = e
[IMAGE] ∴ y (e) = [IMAGE]

Source: Grass-G / M-01 Mathematics Paper-1.docx