Area Under Curve questions
273 published questions with worked solutions.
- The area bounded by the curve f(x)=ce^x (c>0), the x-axis and the two ordinates x=p and x=q is proportional to
- The ordinate x=a divides the area bounded by the x-axis, the curve y=1+ 8 x^2 and the ordinates x=2 and x=4 into equal parts....
- The area of the ellipse (x+1)^2 4 +y^2=1 falling in the first quadrant is
- Three times the least value of the area bounded by the line y = mx + 1 and the parabola y = x^2 + 2x - 3, m being a parameter, is...
- The area bounded by the curve y = x(3 - x)^2, the x-axis and the lines of ordinates of the maximum and minimum values of the...
- The area bounded by the curves y = |x| - 1 and y = -|x| + 1 is
- The area of the region between the curves y = x + x and y = x - x bounded by the lines x = 0 and x = 4 is
- The area of the region bounded by the curve y = e^x and lines x = 0 and y = e is
- Let the straight line x = b divide the area enclosed by y = (1 - x)^2, y = 0 and x = 0 into two parts R_1 ,(0 x b) and R_2 ,(b x...
- The area (in sq. units) of the region described by [(x,y) : y^2 2x and y 4x - 1 ] is
- The area (in square units) of the region bounded by the curves y + 2x^2 = 0 and y + 3x^2 = 1, is equal to
- The area (in sq. units) of the region described by A = (x,y) , | ,y x^2-5x+4, x+y 1, y 0 is
- The area (in sq. units) of the smaller portion enclosed between the curves, x^2+y^2 = 4 and y^2 = 3x, is:
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