List of top Mathematics Questions on Area between Two Curves asked in KEAM

The value of \( \int_{0}^{1} \frac{dx}{e^x + e} \) is equal to:

The value of \( \int_{0}^{1} \frac{dx}{e^x + e} \) is equal to:

The value of \( \int_{0}^{1} \frac{dx}{e^x + e} \) is equal to:

The area of the plane region bounded by the curve $ x={{y}^{2}}-2 $ and the line $ y=-x $ is (in square units)