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Free online series sum calculator — instantly find the sum of the first n natural numbers, their squares, or their cubes, using the standard closed-form formulas.

Free online binomial coefficient calculator — enter n and r and instantly get C(n,r), plus where it sits in Pascal’s Triangle.

Free online calculator for the angle between two planes — enter each plane’s normal vector and instantly get the angle between them.

Free online area under curve calculator — enter a polynomial and the bounds, and instantly get the area between the curve and the x-axis using the definite integral.

Free online rate of change calculator — enter a polynomial and instantly find both the average rate of change over an interval and the instantaneous rate at a point.

Free online trig identity verifier — pick a standard identity, enter an angle, and see both sides evaluated numerically to confirm they match.

Free online trig equation solver — solve sin x = k, cos x = k or tan x = k for x, with the general solution and the values in one full rotation.

Free online Venn diagram generator — enter two sets and instantly see a two-circle Venn diagram with the intersection, union and difference regions labelled.

Free online calculator for the angle between two lines in 3D — enter each line’s direction vector and instantly get the angle between them.

Free online function composition calculator — enter two linear or quadratic functions and instantly evaluate f(g(x)) or g(f(x)) at a chosen value.