Application of Integrals
Area lying between the curves y2=4xand y=2xis
(A) 32 (B) 31 (C) 41 (D) 43
The area bounded by the curve y=x∣x∣, x-axis and the ordinates x=−1and x=1is given by(A) 0 (B) 31 (C) 32 (D) 34[Hint : y=x2if x>0and y=−x2if x<0].
Sketch the region common to the circle x2+y2=16 and the parabola x2=6y. Also, find the area of the region, using integration.
Sketch the region lying in the first quadrant and bounded by y=4x2, x=0, y=2 and y=4. Find the area of the region using integration.