In the interval [0,π/2], area lying between the curves y = tanx and y = cotx and the X-axis is

The area of the region bounded by the lines y = x+1, x=3 and x=5 is

If a curve passes through the point (1,1) and at any point (x,y) on the curve, the product of the slope of its tangent and x co-ordinate of the point is equal to the y co-ordinate of the point, then the curve also passes through the point

The area of the region bounded by the line y=x and the curve y=x³ is