Integral Calculus & ODEs Mock Tests

The area (in square units) bounded by the curves y = |x| and y = x² − 2 is:

The integral of 2x dx is:

The general solution of dy/dx = y is:

The value of the integral ∫(1 / (1 + eˣ)) dx is

The value of the improper integral ∫₀^∞ e^(−x) dx is:

The value of ∫₀¹ x eˣ dx is:

The value of ∫₀^(π/2) sin²x dx is:

The value of ∫₀^{π} x · sin²x dx is