Integration Lecture 9

Integration is the :

If I=int((lnx)^(5))/(sqrt(x^(2)+x^(2)(lnx)^(3)))dx=ksqrt((lnx)^(3)+1)((lnx)^(3)-2)+c (where c is the constant of integration), then 9k is equal to

Using the concept of integration evaluate an area by definite integral

Using definite integration, find the area of the smaller region bounded by the ellipse 9x^2 + 16 y^2 = 144 and x =2.

Using integration, find the area of the region: {(x , y):9x^2+y^2lt=36\ "and"\ 3x+ygeq6}

Using integration, find the area of the following region: {(x , y):(x^2)/9+(y^2)/4lt=1lt=x/3+y/2} .

Using integration, find the area of the triangle formed by negative x-axis and tangent and normal to the circle x^2 + y^2 = 9 at (-1,2sqrt2) .

Using the method of integration, find the area of the region bounded by the lines 3x\ -\ 2y+1=0,\ 2x+3y\ -\ 21=0\ a n d\ x\ -\ 5y+9=0.