The area of the region bounded by the curve , its tangent at (1, 1) and X-axis, is
sq units
sq units
If . Then, the area of the region enclosed by the curve y = f (x) and the three lines y = x, x = 1and x = 8 is
The area of the region enclosed between parabola y2 = x and the line y = mx is . Then, the value of m is
- 2
- 1
1
2
The area of the region, bounded by the curves y = sin- 1(x) + x(1 - x) and y = sin- 1 (x) - x(1 - x) in the first quadrant, is
1
C.
is defined, if
In first quadrant
On solving, we get
2x(1 - x) = 0