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# Application of Integrals Class 12 Notes Mathematics

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## Application of Integrals Class 12 Notes Mathematics

Download CBSE class 12th revision notes for chapter 8 Application of Integrals in PDF format for free. Download revision notes for Application of Integrals class 12 Notes and score high in exams. These are the Application of Integrals class 12 Notes prepared by team of expert teachers. The revision notes help you revise the whole chapter 8 in minutes. Revision notes in exam days is one of the best tips recommended by teachers during exam days.

## CBSE Class 12 Mathematics Revision Notes Chapter 8 Application of Integrals

• Elementary area: The area is called elementary area which is located at any arbitary position within the region which is specified by some value of $x$ between $a$ and $b.$
• The area of the region bounded by the curve y = f (x), x-axis and the lines x = a and x = b (b > a) is given by the formula:
• The area of the region bounded by the curve $x = \theta \left( y \right)$, y-axis and the lines y = c, y = d is given by the formula:
• The area of the region enclosed between two curves y = f (x), y = g (x) and the lines x = a, x = b is given by the formula, Area = $\int\limits_a^b {\left[ {f\left( x \right) - g\left( x \right)} \right]{\rm{ }}dx}$, where $f\left( x \right) \ge g\left( x \right)$ in [a, b].
• If $f\left( x \right) \ge g\left( x \right)$ in [a, c] and $f\left( x \right) \le g\left( x \right)$ in [c, b], $a<c<b,$ then we write the areas as : Area = $\int\limits_a^b {\left[ {f\left( x \right) - g\left( x \right)} \right]{\rm{ }}dx} + \int\limits_c^b {\left[ {g\left( x \right) - f\left( x \right)} \right]{\rm{ }}dx}$.

## CBSE Class-12 Revision Notes and Key Points

Application of Integrals class 12 Notes Mathematics. CBSE quick revision note for class-12 Chemistry Physics Math’s, Biology and other subject are very helpful to revise the whole syllabus during exam days. The revision notes covers all important formulas and concepts given in the chapter. Even if you wish to have an overview of a chapter, quick revision notes are here to do if for you. These notes will certainly save your time during stressful exam days.

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