Plus Two Maths Notes Chapter 8 Application of Integrals

Plus Two Maths Notes Chapter 8 Application of Integrals is part of Plus Two Maths Notes. Here we have given Plus Two Maths Notes Chapter 8 Application of Integrals.

BoardSCERT, Kerala
Text BookNCERT Based
ClassPlus Two
SubjectMaths Notes
ChapterChapter 8
Chapter NameApplication of Integrals
CategoryPlus Two Kerala

Kerala Plus Two Maths Notes Chapter 8 Application of Integrals

Introduction
In this chapter we study the specific application of definite integrals to find the area under simple curves, area between lines and arcs of circles, parabolas, and ellipses.

Area under Simple Curves
Area = \(\int_{a}^{b}\)f(x)dx = \(\int_{a}^{b}\)ydx
Plus Two Maths Notes Chapter 8 Application of Integrals 1
Area = \(\int_{a}^{b}\)f(y)dy = \(\int_{a}^{b}\)xdy
Plus Two Maths Notes Chapter 8 Application of Integrals 2

Area = \(\int_{a}^{c}\)f(x)dx – \(\int_{c}^{b}\)f(x)dx
Plus Two Maths Notes Chapter 8 Application of Integrals 3
Area = \(\int_{a}^{b}\)f2(x)dx – \(\int_{a}^{b}\)f1(x)dx
Plus Two Maths Notes Chapter 8 Application of Integrals 4

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