Calculus Definite Integration Mock Tests

The area (in square units) of the region described by S = {(x, y) : y² ≤ 4 and y ≥ max{x, 0, y - 3}} is equal to:

The value of the integral ∫₀^π x · sin(x) / (1 + cos²(x)) dx equals:

The value of the integral ∫₀^π sin²(x) dx equals:

The area bounded by the curve y = |x - 1| + |x + 1|, the x-axis, and the lines x = -3 and x = 3 is

The value of integral from 0 to π of x · sin(x) / (1 + cos²(x)) dx is

The value of the definite integral ∫₀^(π/2) sin²x · cos²x dx is:

The value of the integral ∫₀^(π/2) sin³(x) · cos³(x) dx equals:

The area bounded by the curves y = |x - 1|, y = |x + 1|, and y = 3 is: