Calculus Calculator
Differentiate and integrate polynomials symbolically. Evaluate functions and derivatives at x. Compute definite integrals via Simpson's rule.
Complete User Guide
Enter a polynomial (e.g., 3x^2 + 2x - 5), optionally set x for evaluation, then click Differentiate & Integrate. For definite integrals, enter bounds a and b.
The Mathematical Formula
d/dx(x^n) = nx^(n-1)
Power rule: d/dx(x^n) = nx^(n-1). Integral: ∫x^n dx = x^(n+1)/(n+1) + C. Simpsons rule: ∫f dx ≈ (h/3)[f(a)+4f(x1)+2f(x2)+...+f(b)].
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