Numerical Integral

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Enter a function to find its integral
x^2-2
Lower bound of the interval
Upper bound of the interval
Number of subintervals: n
Formula to use
Finds the integral of a function using some approximation methods

Summary

  • Function x^2 - 2
  • Python Function x**2 - 2
  • Symbolic Integral \frac{x^{3}}{3} - 2 x
  • Integral Function x**3/3 - 2*x
  • a 1.0
  • b 2.0
  • n 100
  • h 0.01
  • Formula Midpoint
  • Symbolic Result 0.333333333333333
  • Numerical Result 0.3333250000000002
  • Error 8.33333333305486e-6

Numerical Result

\int_{a}^{b} f(x) dx = h \sum_{i=0}^{n-1} f(a + (i + \frac{1}{2})h) = 0.01 \sum_{i=0}^{n-1} f(1.0 + (i + \frac{1}{2}) \cdot 0.01) = 0.333325

Graph