Numerical Methods

Numerical Integration

Numerical integration approximates definite integrals using weighted sums of function values.

Meaning

What Is Numerical Integration?

Numerical integration approximates definite integrals using weighted sums of function values.

Numerical integration approximates definite integrals using weighted sums of function values.

Examples

Examples of Numerical Integration

1The trapezoidal rule approximates area under a curve.
Understand

Formula and Key Points

Formula / rule
Trapezoid: (b−a)[f(a)+f(b)]/2
  • Know the definition and standard notation for Numerical Integration.
  • Be able to recognise or compute numerical integration in a small example.
  • Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
CSE Connection

Why This Matters in Computer Science

Used when software must approximate roots, integrals, equations or other quantities that have no convenient exact solution.

FAQ

Numerical Integration: Frequently Asked Questions

What is Numerical Integration?

Numerical integration approximates definite integrals using weighted sums of function values.

Why is Numerical Integration useful in computer science?

Used when software must approximate roots, integrals, equations or other quantities that have no convenient exact solution.