Application of Integrals
The area enclosed by the curvesy=sinx+cosxandy=∣cosx−sinx∣ over the interval [0,2π]
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 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.
Using integration find the area of region bounded by the triangle whose vertices are (1, 0), (2, 2) and (3, 1).