List of top Mathematics & Statistics Questions on Definite Integrals

The area bounded by the line \( y = x \), X-axis and the lines \( x = -1 \) and \( x = 4 \) is equal to .......... (in square units).
Evaluate: \( \int_1^2 \frac{dx}{x^2+6x+5} \)
The value of the definite integral \( \int_2^7 \frac{\sqrt{x}}{\sqrt{x} + \sqrt{9-x}} dx \) is: