#Integralproperty

In the following google drive link, you can down load MA3151- JAN22 question paper fully solved
https://drive.google.com/drive/folder...
Evaluate integral 1 to 2 integral 1 to 3 xy^2dx dy
   • #Doubleintegration || Evaluate integr...  
#tripleintegrals|| integral 0 to log2 integral 0 to x integral 0 to {x+y} e^{x+y+2} dx dy dz
   • #tripleintegrals|| integral 0 to log2...  
#TripleIntegrals || Calculate the volume of the solid bounded by the planes x=0,y=0,z=0 and x+y+z=1
   • #TripleIntegrals || Calculate the vol...  
#tripleintegrals integral 0 to 1 integral 0 to 1-x} integral 0 to {x+y} e^{x}dx dy dz
   • #tripleintegrals integral 0 to 1 inte...  
Change the order of integration integral 0 to a integral a-\sqrt{a^2-y^2} to a+\sqrt{a^2-y^2} dy dx
   • Change the order of integration integ...  
Change the order of integration & evaluate integral 0to a integral y to a x by\sqrt{x^2+y^2} dx dy
   • Change the order of integration & eva...  
#integrals || Change the order of integration \integral 0 toa integral x^2/a to 2a-x xy dydx
   • #integrals || Change the order of int...  
Change the order of integration integral 0 to infinity integral x to infinity e^-y by y dy dx
   • Change the order of integration integ...  
Change the order of integration & evaluate integral 0to a integral y to a x by\sqrt{x^2+y^2} dx dy
#integrals, #multipleintegrals, #applicationofintegrals
|| Change the order of integration \integral 0 to1 integral x^2 to 2-x xy dydx
   • #integrals || Change the order of int...  
In the following link I have explained hydro static force of one end of a cylindrical drum by an example.
   • #Applicationofintegrals || hydro stat...  
Change the order of integration integral 0 to infinity integral x to infinity e^-y by y dy dx
#Integrals || Evaluate integral of (2x+5) by \sqrt{x^2-2x+10} dx
   • #Integrals || Evaluate integral of (2...  
Evaluate integral 3x+1 by (x-1)^2(x+3)dx
   • #IntegralPartialfractionmethod || Eva...  
Evaluate integral 0 to 1 integral 0 to 2 integral 0 to 3 xyz dx dy dz

Evaluate double integral e^{x^2+y^2} dy dx in polar bounded by x-axis
and curve y=sqrt{1-x^2}.
   • Evaluate  double integral e^{x^2+y^2}...  
   • Evaluate integral 0 to 1 integral 0 t...  
Evaluate double integral e^{x^2+y^2} dy dx where bounded by x-axis and the curve y=sqrt{1-x^2}.

Find the area of the region R enclosed by the parabola y=x^2 and y=x+2.
   • #Areaasdoubleintegrals || Find the ar...