Integral Calculator

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Double Integral

Give the function $f(x,y)$ for integration:
$f(x,y)=$

Choose type of coordinates:

Cartesian Coordinates

Insert Edges:
$x_1=$ $x_2=$

$y_1=$ $y_2=$

Polar Coordinates

Insert Edges:
$r_1=$ $r_2=$

$\theta_1=$ $\theta_2=$

Elliptical Coordinates

Insert Edges:
$r_1=$ $r_2=$

$\theta_1=$ $\theta_2=$

Length of axes for elliptical coordinates (default (a=1,b=1)):
$a=$ $b=$

Center of coordinate system ( default is K(0,0)) :
$K_x=$ $K_y=$

Triple Integral

Give the function $f(x,y,z)$ for integration:
$f(x,y,z)=$

Choose type of coordinates:

Cartesian Coordinates

Insert Edges:
$x_1=$ $x_2=$

$y_1=$ $y_2=$

$z_1=$ $z_2=$

Spherical Coordinates

Insert Edges:
$r_1=$ $r_2=$

$\theta_1=$ $\theta_2=$

$\phi_1=$ $\phi_2=$

Ellipsoid Coordinates

Insert Edges:
$r_1=$ $r_2=$

$\theta_1=$ $\theta_2=$

$\phi_1=$ $\phi_2=$

Length of axes for elliptical coordinates (default (a=1,b=1,c=1)):
$a=$ $b=$ $c=$

Center of coordinate system ( default is K(0,0,0)) :
$K_x=$ $K_y=$ $K_z=$

Line Integral of Scalar Function

Give the function $f(x,y,z)$ for integration:
$f(x,y,z)=$

Give the curve $\vec{c}(t) = [x(t) , y(t) , z(t)]$ for integration:
$x(t)=$ $y(t)=$ $z(t)=$

Give the edges $t_1$ and $t_2$ :
$t_1=$ $t_2=$

Line Integral of Vector Function

Give the function $\vec{F}(x,y,z)=[F_1 , F_2 , F_3]$ for integration:

$F_1(x,y,z)=$

$F_2(x,y,z)=$

$F_3(x,y,z)=$

Choose type of curve:

General Curve

Give the curve $\vec{c}(t) = [x(t) , y(t) , z(t)]$ for integration:
$x(t)=$ $y(t)=$ $z(t)=$

Give the edges $t_1$ and $t_2$ :
$t_1=$ $t_2=$

Line to Curve

Give a point $A(x_A,y_A,z_A)$ of the line:
$x_A=$ $y_A=$ $z_A=$

Give a point $B(x_B,y_B,z_B)$ of the line:
$x_B=$ $y_B=$ $z_B=$

Circle to Curve

Give the center $K(x_K,y_K,z_K)$ of the circle:
$x_K=$ $y_K=$ $z_K=$

Give the radius $r$ of the circle :
$r=$

Give the angle in radians of the circle :
$a=$ $b=$

Ellipse to Curve

Give the center $K(x_K,y_K,z_K)$ of the ellipse:
$x_K=$ $y_K=$ $z_K=$

Give the axis multipliers :
$a=$ $b=$ $c=$

Give the angle in radians of the circle :
$a=$ $b=$

Surface Integral

Give the function $f(x,y,z)$ for integration:
$f(x,y,z)=$

Give the surface $s(u,v)=[x(u,v) , y(u,v) , z(u,v)]$ for integration:

$x(u,v)=$

$y(u,v)=$

$z(u,v)=$

Give the edges :

$u_1=$ $u_2=$

$v_1=$ $v_2=$