Taylor Polynomials Calculator
A Taylor polynomial replaces a complicated function with a short polynomial built from the function’s derivatives at a single point, and this calculator does the arithmetic for you.
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General Antiderivative Calculator
An antiderivative is a function whose derivative gives you back the function you started with: the indefinite integral, plus the constant of integration.
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Error Bound Calculator (Simpsons Rule)
Simpson’s rule approximates a definite integral with parabolas, but the answer is never exact.
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Polar Area Calculator
Area in polar coordinates comes from one integral, A = (1/2)∫ r² dθ, but applying it by hand means picking the right limits, squaring the function, and avoiding the double-counting traps that rose curves set.
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Limit Calculator
A limit is the value a function heads toward as x closes in on a point, whether or not the function is defined at that point itself.