Definite Integr...

The area bounded by the curve y = x³, x-axis and two ordinates x = 1 to x = 2 equal to

The area bounded by the parabola y² = 4ax, its axis and two ordinates x = 4, x = 9 is

The area of the region bounded by the x-axis and the curves defined by y = tan x, (–π/3 ≤ x ≤ π/3) is

If a curve y = a√x + bx passes through the point (1,2) and the area bounded by the curve , line x = 4 and x-axis is 8 sq.unit, then

The area bounded by the curve y = f(x), x–axis and ordinates x = 1 and x = b is (b – 1) sin (3b + 4), then f(x) is

Area under the curve y = x² – 4x within the x-axis and the line x = 2, is

The area bounded the straight lines x = 0, x = 2 and the curves y = 2^x, y = 2x – x² is