Area under the curve Questions

The area enclosed by the curve y = sinx + cosx and y = |cosx - sinx| over the interval is

The area of the region described by A = {(x, y) : x2 + y2 ≤ 1 and y2 ≤ 1 - x} is

Area of the region (x,y)∈ℝ2:y≥x+3,5y≤x+9≤15is equal to...

If the curves y2 = 6x, 9x2 + by2 = 16 intersect each other at right angles, then the value of b is :

Let ƒ : [0, ∞)→ℝ) be a continuous function such thatƒ(x) =1- 2x + ∫0xex-t ƒ(t)dt for all x ∈ [0, ∞). Then, which of the following statement(s) is (ar...

The area (in square units) bounded by the curves y = √x, 2y - x + 3 = 0, x-axis and lying in the first quadrant is :

The area bounded between the parabolas , and x2 = 9y, and the straight liney = 2 is :

Let the straight line x = b divides the area enclosed by y = (1 - x)2, y = 0 and x = 0 into two parts R1(0 ≤ x ≤ b) and R2(b ≤ x ≤ 1) such that R1 - R2 = 1/4 . Then b equals...

The area of the region enclosed by the curves y = x, x = e, y = and the positive x-axis is

The area bounded by the curves y = f(x), the x-axis and the ordinates x = 1 and x = b is (b + 1) sin (3b + 4). Then, f(x) is...

The triangle formed by the tangent to the curve f(x) = x2 + bx -b at the point (1, 1) and the coordinate axes, lies in the first quadrant. If its area is 2, then the value of b is...

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

The area of the plane region bounded by the curves x + 2y2 = 0 and x + 3y2 = 1 is equal to

The area enclosed between the curves y2 = x and y = |x| is

A triangular park is enclosed on two sides by a fence and on the third side by a straight river bank. The two sides having fence are of same length x. The maximum area enclosed by the park is...

The area enclosed between the curve y = loge(x + e) and the coordinate axes is

The area of the region bounded by the curves y = |x - 2|, x = 1, x = 3 and the x-axis is

The area of the region bounded by the curves y = |x - 1| and y = 3 - |x| is

If y = f(x) makes +ve intercept of 2 and 0 unit on x and y axes and encloses an area of 3/4 square unit with the axes then xf′(x) dx is...

The area bounded by the curves y = lnx, y = ln |x|, y = | ln x | and y = | ln | |x| is