Application of Integrals
Using the method of integration find the area of the region bounded by lines:2x+y=4,3x2y=6and x3y+5=0
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Find the area enclosed by the circle x2+y2=a2.
The area bounded by the curves y=logex and y=(logex)2 is (A) e−2 sq. units (B) 3−e sq. units (C) e sq. units (D) e−1 sq. units
The area of the circle x2+y2=16exterior to the parabola y2=6xis(A) 34(4π−3) (B) 34(4π+3)(C) 34(8π−3) (D) 34(8π+3)
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
The area between x=y2and x=4 is divided into two equal parts by the line x=a, find the value of a.
Find the area of the region bounded by the ellipse 4x2+9y2=1
Find the area of the region bounded by the parabola y=x2 and y=∣x∣.