Draw the graphs of the functions `y^2 = x+1 and y^2 = -x+1` and also find the area bounded by these curves.

Draw a rough sketch of the curves y = (x-1)^2 and y = |x-1| . Hence, find the area of the region bounded by these curves.

Find the area bounded by the curves x+2|y|=1 and x=0 .

Find the area bounded by the curves x+2|y|=1 and x=0 .

Find the area bounded by the curves x+2|y|=1 and x=0

Find the area bounded by the curves x+2|y|=1 and x=0 .

Find the area bounded by the curves x+2|y|=1 and x=0 .

Find all maxima and minima of the function y = x(x-1)^2 for 0<=x<=2 Also, determine the area bounded by the curve y = x (x-1)^2 , the X-axis and the line x = 2 .

Sketch the graph of the cubic y=x^3-x^2-x+1 and if A is the area of the region bounded by the curve and the line y = x+1. Then A+1.92 is

Find all maxima and minima of the function y=x(x-1)^(2) for 0<=x<=2 Also,determine the area bounded by the curve y=x(x-1)^(2) the X -axis and the line x=2 .

Find the area bounded by the curve |y|+1/2 le e^(-|x|) .