Students can Download Chapter 8 Application of Integrals Notes, Plus Two Maths Notes helps you to revise the complete Kerala State Syllabus and score more marks in your examinations.

## 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

Area = \(\int_{a}^{b}\)f(y)dy = \(\int_{a}^{b}\)xdy

Area = \(\int_{a}^{c}\)f(x)dx – \(\int_{c}^{b}\)f(x)dx

Area = \(\int_{a}^{b}\)f_{2}(x)dx – \(\int_{a}^{b}\)f_{1}(x)dx