Application of Integrals
Find the area of the parabola y2=4axbounded by its latus rectum.
Consider two curves C1:y2=4[y]xandC2:x2=4[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 38squ˙nits (b) 310squ˙nits 311squ˙nits (d) 411squ˙nits
Using integration, find the area of the region enclosed between the two circles x2+y2=4 and (x−2)2+y2=4.
If ′aprime(a>0) is the value of parameter for each of which the area of the figure bounded by the straight line y=1+a4a2−ax and the parabola y=1+a4x2+2ax+3a2 is the greatest, then the value of a4 is___
Using the method of integration find the area bounded by the curve ∣x∣+∣y∣=1.[Hint: The required region is bounded by lines x+y=1,x−y=1,−x+y=1and−x−y=1]˙