The Summation Calculator evaluates expressions written in sigma notation (Σ). Enter an expression, define the index variable, and set the lower and upper bounds to compute the sum.
This tool is perfect for evaluating finite sums in calculus, discrete mathematics, and statistics. It computes each term and accumulates the total sum.
Your calculations will appear here
Sigma notation (Sigma, or the capital Greek letter) is a compact way to write the sum of a sequence of terms. The expression below the sigma specifies the starting index, the expression above specifies the ending index, and the expression to the right is the general term.
Summation follows linearity rules: the sum of (a_k + b_k) equals the sum of a_k plus the sum of b_k. A constant factor can be pulled out: sum of c*a_k = c * sum of a_k.
Problema: Find the sum of k^2 from k=1 to k=5
Solucion: 1 + 4 + 9 + 16 + 25
Respuesta: 55
Problema: Find the sum of k from k=1 to k=100
Solucion: Using the formula n(n+1)/2 = 100*101/2
Respuesta: 5050
Calculate derivatives of any function step by step. Supports higher-order derivatives, partial derivatives, and common functions. Free online tool.
Calculate indefinite integrals (antiderivatives) of functions. Symbolic integration with step-by-step display. Free online integral calculator.
Calculate definite integrals with upper and lower bounds. Numerical integration using Simpson's rule. Free online definite integral calculator.
Calculate double integrals over rectangular regions. Numerical evaluation of two-variable integrals. Free online double integral calculator.
Calculate partial derivatives of multivariable functions. Symbolic differentiation with respect to chosen variable. Free online tool.
Calculate limits of functions as a variable approaches a value. Supports left and right limits. Free online limit calculator.