The area of the region whose boundaries are defined by the curves `y=2cosx , y=3tanx ,a n dt h ey-a xi si s` `1+31n(2/(sqrt(3)))s qdotu n i t s` `1+3/2 1n3-31n2s qdotu n i t s` `1+3/2 1n3-1n2s qdotu n i t s` `1n3-1n2s qdotu n i t s`

The area bounded by the curve a^2y=x^2(x+a) and the x-axis is (a^2)/3s qdotu n i t s (b) (a^2)/4s qdotu n i t s (3a^2)/4s qdotu n i t s (d) (a^2)/(12)s qdotu n i t s

The area bounded by the curve y^2=8x\ a n d\ x^2=8y is (16)/3s qdotu n i t s b. 3/(16)s qdotu n i t s c. (14)/3s qdotu n i t s d. 3/(14)s qdotu n i t s

The area of the closed figure bounded by x=-1,x=2,a n d y={-x^2+2,xlt=1 2x-1,x >1a n dt h ea b s c i s s aa xi si s (16)/3s qdotu n i t s (b) (10)/3s qdotu n i t s (13)/3s qdotu n i t s (d) 7/3s qdotu n i t s

The area of the region bounded by x=0,y=0,x=2,y=2,ylt=e^x a n dygeq1nx is 6-41n2s qdotu n i t s (b) 41n2-2s qdotu n i t s 21n2-4s qdotu n i t s (d) 6-21n2s qdotu n i t s

The area bounded by the curve y^2=1-x and the lines y=(|x|)/x ,x=-1,a n dx=1/2i s 3/(sqrt(2))-(11)/6s qdotu n i t s (b) 3sqrt(2)-(11)/4s qdotu n i t s 6/(sqrt(2))-(11)/5s qdotu n i t s (d) none of these

The area of the region enclosed between the curves x=y^2-1a n dx=|y|sqrt(1-y^2) is 1s qdotu n i t s (b) 4/3s qdotu n i t s 2/3s qdotu n i t s (d) 2s qdotu n i t s

What is the area of the shaded region? (FIGURE) 32-4 pi s qdotu n i t s (b) 32-8 pi s qdotu n i t s (c) 16-4 pi s qdotu n i t s (d) 16-8 pi s qdotu n i t s

Consider two curves C_1: y^2=4[sqrt(y)]x a n dC_2: x^2=4[sqrt(x)]y , where [.] denotes the greatest integer function. Then the area of region enclosed by these two curves within the square formed by the lines x=1,y=1,x=4,y=4 is 8/3s qdotu n i t s (b) (10)/3s qdotu n i t s (11)/3s qdotu n i t s (d) (11)/4s qdotu n i t s

The area bounded by the two branches of curve (y-x)^2=x^3 and the straight line x=1 is 1/5s qdotu n i t s (b) 3/5s qdotu n i t s 4/5s qdotu n i t s (d) 8/4s qdotu n i t s

The value of the parameter a such that the area bounded by y=a^2x^2+a x+1, coordinate axes, and the line x=1 attains its least value is equal to 1/4s qdotu n i t s (b) 1/2s qdotu n i t s 3/4s qdotu n i t s (d) -1s qdotu n i t s