List of top Mathematics Questions asked in Tripura Joint Entrance Examination

The area bounded by the curves $ y = \log_e x $ and $ y = (\log_e x)^2 $ is:
The differential equation of all circles of radius $ a $ is:
Evaluate the integral: \[ \int_0^2 |x^2 + x - 2| \, dx \]
The mapping $ f: \mathbb{R} \to \mathbb{R} $ such that $ f(x) = |x - 1| $, $ x \in \mathbb{R} $ is:
If \[ \int \frac{3e^x + 5e^{-x}}{4e^x - 5e^{-x}} \, dx = Ax + B \ln |4e^{2x} - 5| + C \] then, the values of $ A $, $ B $, and $ C $ are: