The area enclosed between the curve y2(2a−x)=x3 and the line x=2 above the x-axis is
Find the area of the region bounded by the curves y=x2,y=∣∣2−x2∣∣,andy=2, which lies to the right of the line x=1.
Let f:[0,∞)→R be a continuous function such that f(x)=1−2x+0∫xex−tf(t)dt for all x∈[0,∞). Then, which of the following statements(s) is (are)) TRUE?
The area of the region bounded by the parabola (y−2)2=x−1, the tangent to the parabola at the point (2,3), and the x-axis is