# Genelleştirilmiş İntegraller

Canonical: https://manyspace.aporia.systems/tr/topics/improper-integrals-mth-calc2-144
Updated: 2026-10-13

Matematik · Calculus II · MTH-CALC2-144

- Zorluk: 3 / 5
- Önem: 5 / 5
- Çalışma süresi: 3–6 sa

infinite intervals, discontinuities, comparison tests

## Neden önemli

Completes single-variable calculus: advanced integration and the theory of infinite series that pervades analysis and physics.

## Nerede kullanılır

Work/energy integrals, probability densities, Fourier series foundations, approximation of functions, financial continuous compounding.

## Öğrendiğini nasıl anlarsın

Complete 3 independent examples correctly + explain common failure modes.

## Önce neye ihtiyacın var

- [Sezgisel Limitler](https://manyspace.aporia.systems/tr/topics/sezgisel-limitler-mth-calc1-123) (gerekli)
- [Riemann Toplamları ve Belirli İntegral](https://manyspace.aporia.systems/tr/topics/riemann-toplamlari-ve-belirli-integral-mth-calc1-138) (gerekli)

## Neyi açar

- [Laplace Dönüşümleri](https://manyspace.aporia.systems/tr/topics/laplace-donusumleri-mth-ode-192)

## Kaynaklar

- Schaum's Outline of Calculus — Frank Ayres
- Calculus: Early Transcendentals — James Stewart
- Thomas' Calculus — Hass, Heil & Weir