Definite Integration & Area Mock Tests

The value of ∫₀² x√(4 − x²) dx is:

The area of the region bounded by y² = 4x and x = 4 is:

If the demand function is D(x) = 30 − x and the market price is Rs 10, the consumer surplus is:

The value of ∫₀² x dx is:

The value of ∫₀¹ x eˣ dx is:

The area of the region bounded by the curves y = x² and y = x is:

The area of the region bounded by the curve y = x², the x-axis, and the lines x = 0 and x = 3 is:

The value of ∫₀¹ x(1 − x)⁵ dx is: