INTEGRAL LINKS Basic Integral Problems - • Basic Integral Problems Integration by parts - ∫ log x/x^2 dx - • Integration By Parts - ∫ log x/x^2 dx INTEGRATE ∫ 1/(√9-x^2) dx - • INTEGRATE by substitution ∫ 1/(√9-x^2) dx INTEGRATE ∫ (x+9)/(x^2+9) dx - • INTEGRATE by substitution ∫ (x+9)/(x^2+9) dx INTEGRATE ∫ 1/(√1-4t^2) dt - • INTEGRATE by substitution ∫ 1/(√1-4t^2) dt INTEGRATE ∫ 1/(9-x^2) dx - • INTEGRATE ∫ 1/(9-x^2) dx INTEGRATE ∫ Sin-1x/(√1-x^2) dx - • INTEGRATE by substitution ∫ Sin^-1 x/ (√1-... INTEGRATE ∫ x / 4√ (x+2) dx - • INTEGRATE ∫ x / fourth root of (x+2) dx INTEGRATE ∫ 2x (x^2+4)^100 dx - • INTEGRATE by substitution ∫ 2x (x^2+4)^10... INTEGRATE ∫ cos^4 θ sinθ dθ - • INTEGRATE by substitution ∫ cos^4 θ sinθ dθ INTEGRATE ∫ cos^3θ sin^3θ dθ - • INTEGRATE by substitution ∫ sin^3xcos^3x dx Find the volume of the region bounded by y=x^3 and y=x at x greater than 0 and y=-2 - • INTEGRAL : Find the volume of the region b... Find the area between the curves y=2x and y=x^2-4x - • INTEGRAL Find the area between the curves ... Find the area of ∫xy^4 ds where c is the right half of the circle x^2+y^2 = 16 - • INTEGRAL Find the area of ∫xy^4 ds where c... Find the volume of region bounded by y=x^3 and y=x at x-axis - • INTEGRAL Find the volume of region bounded... DOUBLE INT- INTRODUCTION - • DOUBLE INTEGRAL - INTRODUCTION Evaluate ∫∫(xy^2) dxdy - • DOUBLE INTEGRAL: Evaluate ∫∫ xy^2 dxdy Evaluate ∫∫dydx/(1+x^2y^2) - • DOUBLE INTEGRAL Evaluate ∫∫ dydx/(1+x^2+y^2) Evaluate ∫∫(y^2-x^2)dydx/(x^2+y^2)^2 - • DOUBLE INTEGRAL Evaluate ∫∫(y^2-x^2)dxdy/(... Evaluate ∫∫e^(y/x)dydx - • DOUBLE INTEGRAL Evaluate ∫∫ e^(y/x)dydx Evaluate ∫∫ xy(x+y) dydx over the area between y=x^2 and y=x - • DOUBLE INTEGRAL Evaluate ∫∫ xy(x+y) dydx o... Evaluate f(x,y) = 2xy-3y^2 for (1 -1) (-2 2) - • DOUBLE INTEGRAL Evaluate f(x y) = 2xy-3y^2... Evaluate ∫∫ 3x+4y dxdy - • DOUBLE INTEGRAL Evaluate ∫∫ 3x+4y dxdy Find the toal and center of mass of ρ (x y)=x+y - • DOUBLE INTEGRAL Find the total and center ... Find the surface area of the part of z=xy that is inside x^2+y^2=1 - • DOUBLE INTEGRAL Find the surface area of t... Find the volume of the solid that lies below z=xy and above the triangle with vertices (1 1) (4 1) and (1 2) - • DOUBLE INTEGRAL: Find volume of solid - li... Evaluate ∫∫ (xy^2)/(x^2+1) dA - • Video Evaluate ∫∫ (x/y)+(y/x) dydx - • DOUBLE INTEGRAL: Evaluate ∫∫ (x/y)+(y/x) ... Evaluate ∫∫ (x^2)yz ds where z=1+2x+3y that lies above rectangle x(0 3) y(0 2) - • DOUBLE INTEGRAL: Evaluate ∫∫ (x^2)yz ds ... Evaluate ∫∫ 2y/(x^2+1) dA x=0 to 1 y= 0 to √x - • DOUBLE INTEGRAL: Evaluate ∫∫ 2y/(x^2+1) d... Evaluate ∫∫ e^(-x^2-y^2) dA bounded by x=√4-x^2 and y axis - • DOUBLE INTEGRAL: Evaluate ∫∫ e^(-x^2-y^2)... Evaluate ∫∫ r dr dθ - • DOUBLE INTEGRAL: Evaluate ∫∫ r dr dθ Evaluate ∫∫ sin(x^2+y^2) dy dx - • DOUBLE INTEGRAL: Evaluate ∫∫ sin(x^2+y^2)... Evaluate ∫∫ x+y dA where y=√x to y=x^2 - • DOUBLE INTEGRAL: Evaluate ∫∫ x+y dA wher... Evaluate ∫∫ x-3y dA over triangular region (0 0) (2 1) (1 2) using x=2u+v and y=u+2v - • DOUBLE INTEGRAL: Evaluate ∫∫ x-3y dA ove... Find centroid / center of mass of y=x^2 and y=8-x^2 - • DOUBLE INTEGRAL Find center of mass of ... Evaluate ∫∫ x(y^2)/x^2+1 dA x= 0 to 1 y= -3 to +3 - • DOUBLE INTEGRAL Evaluate ∫∫ x(y^2)/x^2+1 ... TRIPLE INT - INTRODUCTION - • TRIPLE INTEGRAL - INTRODUCTION Evaluate ∫∫∫(x+y+z)dxdydz - • TRIPLE INTEGRAL: Evaluate ∫∫∫(x+y+z)dxdydz Evaluate ∫∫∫(x^2)yz dxdydz - • TRIPLE INTEGRAL Evaluate ∫∫∫ x^2yz dxdydz Evaluate ∫∫∫(x^2)yz dxdydz - • TRIPLE INTEGRAL Evaluate ∫∫∫ x^2yz dxdydz Evaluate ∫∫∫(x^2+y^2+z^2)dxdydz - • TRIPLE INTEGRAL Evaluate ∫∫∫ (x^2+y^2+z^2)... Find the volume common to 2 cylinders x^2+y^2 = a^2 and X^2+z^2=a^2 - • TRIPLE INTEGRAL Find the volume common to ... Evaluate ∫∫∫(x+y+z)dxdydz - • TRIPLE INTEGRAL: Evaluate ∫∫∫ (x+y+z)dxdydz Find the volume of solid tetrahedron enclosed by 2x+y+z=4 and the coordinate planes - • TRIPLE INTEGRAL Find the volume of solid t... Evaluate ∫∫∫ z siny dxdzdy - • TRIPLE INTEGRAL Evaluate ∫∫∫ z siny dxdzdy Find the volume of ∫∫∫[(x^2+y^2+z^2)^2]dv where B is the ball with centre (0,0,0) and radius 5 - • TRIPLE INTEGRAL Find volume of ∫∫∫ (x^2+y^... Evaluate ∫∫∫ 4xy dz dy dx - • TRIPLE INTEGRAL: Evaluate ∫∫∫ 4xy dz dy dx Evaluate ∫∫∫ 6xy dv under z=1+x+y but above the region bounded by y=x^1/2 y=0 and x=1 - • TRIPLE INTEGRAL Evaluate ∫∫∫ 6xy dv under ... Evaluate ∫∫∫ x^3yz^2 dv where x=0 to 2 y=-2 to 3 z=0 to 1 - • TRIPLE INTEGRAL: Evaluate ∫∫∫ (x^3)y(z^2) ... Evaluate ∫∫∫(x+y+z)dxdydz - • TRIPLE INTEGRAL: Evaluate ∫∫∫(x+y+z)dxdydz Find the volume ∫∫∫(x^2) dV lies within the cylinder x^2+Y^2=1 above the plane z=0 and below the line z^2 = 4x^2+4y^2 - • TRIPLE INTEGRAL Find volume ∫∫∫(x^2) - cy... Sketch the solid bounded by x^2+y^2=4 , its volume z=1 and z=9-3x-2y, calculate its volume - • TRIPLE INTEGRAL The solid bounded x^2+y^2... Evaluate ∫∫∫ xyz dzdydx - • TRIPLE INTEGRAL: Evaluate ∫∫∫ xyz dzdydx Evaluate ∫∫∫ xz dzdxdy - • TRIPLE INTEGRAL Evaluate ∫∫∫ xz dzdxdy Evaluate ∫∫∫ e^(x+y+z) dzdxdy - • Triple integral ∫∫∫ e^(x+y+z) dzdxdy Evaluate ∫∫∫ log z dydxdz - • TRIPLE INTEGRAL Evaluate ∫∫∫ log z dydxdz Evaluation of volume of sphere using triple integral - • Evaluation of volume of sphere using tripl... Find the volume bounded by the cylinder x^2+y^2=4 and the planes y+z=4 and z=0 - • TRIPLE INTEGRAL Find the volume bounded by... Find the volume of the tetrahedron bounded by x=0 y=0 z=0; x/a + y/b +z/c = 1 - • TRIPLE INTEGRAL Find the volume of the tet... Evaluate ∫∫∫ xe^(-y) dydxdz - • TRIPLE INTEGRAL xe^(-y) dydxdz Evaluate ∫∫∫ z dydzdx - • TRIPLE INTEGRAL: Evaluate ∫∫∫ z dydzdx To find the average volume of the function over a cube with side L with one vertex at centre (0 0 0 ) - • TRIPLE INTEGRAL: Find average volume of f...