Modules / intcalc

Integral Calculus

Integrals and their applications, techniques of integration, differential equations, sequences and series, power series, parametric and polar curves.

Version: 1.0.0 complete
Follows: OpenStax Calculus Volume 2, Chapters 1–7
Level: First- and second-year university
Needs: Lab4IQM 1.7 or newer, Blender 4.2.0 or newer
Commands: 39

Download lab4iqm_intcalc-1.0.0.zip Read the guide (PDF)

Try these

Each line is a command from the module's own examples; type it in the Lab4IQM console after import intcalc.

1.1 A sum in sigma notationsigma(f=k^2, k=1..10); view2d()

1.1 A geometric sumsigma(f=(1/2)^k, k=0..10); view2d()

1.1 A left-endpoint sumriemann(f=x^2, x=0..2, n=4); view2d()

1.1 A midpoint sumriemann(f=x^2, x=0..2, n=4, method=mid); view2d()

1.1 Upper and lower sumsriemann(f=sin(x), x=0..pi, n=6, method=upper); view2d()

1.1 Sums approaching the areariemann(f=1/x, x=1..3, n=(4, 8, 16, 32, 64), method=all); view2d()

1.2 Net signed areaintegral(f=x^3 - x, x=-1..2); view2d()

1.2 An area by geometryintegral(f=sqrt(9 - x^2), x=-3..3); view2d()

Commands

help(intcalc) in the console lists them with their options.

sigmariemannintegralaverageareafunctionftcnetchangesubstitutebetweenslicesrevolvearclengthmassworkpumpfluidforcecentroidexpmodelpartstrigsubpartialfractionsnumintimproperdesolveslopefieldeulermethodverifylogisticsequenceseriespowerseriestaylorparametricpolarpolarareacoordsconicpracticecheck