Area Under Curve questions
273 published questions with worked solutions.
- 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...
- Let S be the area of the region enclosed by y = e^ -x^2 , y = 0, x = 0, and x = 1. Then
- The area enclosed by the curves y = x + x and y = | x - x| over the interval [0, 2 ] is
- Area of the region (x,y) R ^2:y |x+3| , 5y x+9 15 is equal to
- If the line x= divides the area of region R= (x,y) R ^2:x^3 y x,0 x 1 into two equal parts, then
- A farmer F_1 has a land in the shape of a triangle with vertices at P(0,0), Q(1,1) and R(2,0). From this land, a neighbouring...
- The area of the region (x,y):xy 8, 1 y x^2 is
- What is the area bounded by the curves |y|=1-x^2?
- The area bounded by the curve |x|+|y|=1 is
- What is the area of the region bounded by the parabolas y^2=6(x-1) and y^2=3x?
- What is the area of the region enclosed between the curve y^2=2x and the straight line y=x?
- What is the area of the region enclosed between the curve y^2=2x and the straight line y=x?
- The area of the region bounded by the parabola y^2=4kx, where k>0 and its latus rectum is 24 square units. What is the value of k?
- What is the area included in the first quadrant between the curves y=x and y=x^3?
- What is the area of the region (in the first quadrant) bounded by y= 1-x^2 , y=x and y=0?
- What is the area of the region bounded by x-|y|=0 and x-2=0?
- What is the area of the region enclosed in the first quadrant by x^2+y^2= ^2, y= x and x=0?
- What is the area between the curve f(x)=x|x| and x-axis for x [-1, 1]?
- What is the area bounded by y=e^ |x| and the lines |x|=1 and y=0?
- The slope of the tangent to the curve y=f(x) at (x, f(x)) is 2x. If the curve passes through the origin, then what is the area...
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