Application of Integrals
Find the area of the parabola y2=4axbounded by its latus rectum.
Draw a rough sketch and find the area of the region bounded by the parabolas y2=4x and x2=4y, using the method of integration.
Using integration, find the area of the region bounded by the triangle whose vertices are A(−1,2),B(1,5) and C(3,4).
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___
The area bounded by y=sec−1x,y=cosec−1x, and line x−1=0 is (a) log(3+22)−2π sq. units (b) 2π−log(3+22) sq. units (c) π−(log)e3 sq. units (d) non of these