Integration

Content


Double Integrals

Rectangular

This widget will compute both interated and general region double integrals.

If you are integrating over a general region and decide to switch the order of integration do not forget to redefine your bounds!

Polar

This will integrate a function over a polar region.

Triple Integrals

Rectangular 3D

This will compute interated and general volume integration.

Cylindrical

This will integrate a function confined to a cylindrical volume.

Spherical

This widget will integrate a function over a spherical volume.

Line Integrals

If you want to compute a line integral over a vector field check this out.

With Respect to Arc Length

This widget will compute a line integral with respect to arc length.

X, Y, and Z are the parametric components of the curve of integration.

With Respect to dx, dy, and or dz

This widget will evaluate a line integral with respect to x, y, or z instead of t. The functions P, Q, and R are being integrated with respect to x, y, and z respectively. Functions X, Y, and Z are the parametric components of the curve of integration from t0 to t1.

Surface Integrals

If you want to integrate over a vector field see this widget.

This widget will allow you to find the surface integral.