Application of Integrals
Find the area enclosed by the curve x=3cost,y=2sint
The area of the loop of the curve ay2=x2(a−x) is (a)4a2squ˙nits (b) 158a2squ˙nits 916a2squ˙nits (d) None of these
If the area above x−aξs, bounded by the curves y=2kxandx=0andx=2is(log)e23, then find the value of k˙
The area bounded by the curve y2=8x and x2=8y is 316squ˙nits b. 163squ˙nits c. 314squ˙nits d. 143squ˙nits
If An is the area bounded by y=xandy=xn,n∈N,thenA2A˙3An= n(n+1)1 (b) 2∩(n+1)1 2n−1n(n+1)1 (d) 2n−2n(n+1)1
Using the method of integration find the area of the region bounded by lines:2x+y=4,3x2y=6and x3y+5=0
Sketch and find the area bounded by the curve ∣x∣+∣y∣=aandx2+y2=a2(wherea>0) If curve ∣x∣+∣y∣=a divides the area in two parts, then find their ratio in the first quadrant only.