OP Malhotra **Application of Integrals** ISC Class-12 Maths Solutions Ch-25. Step by step Solutions of OP Malhotra SK Gupta, Anubhuti Gangal S.Chand ISC Class-12 Mathematics with Exe-25(a), Exe-25(b), Self Revision and Chapter Test. Visit official Website CISCE for detail information about ISC Board Class-12 Mathematics.

## OP Malhotra Application of Integrals ISC Class-12 Maths Solutions Ch-25

Class: | 12th |

Subject: | Mathematics |

Chapter : | Ch-25 Application of Integrals of Section -B |

Board | ISC |

Writer | OP Malhotra, SK Gupta, Anubhuti Gangal |

Publications | S.Chand Publications 2020-21 |

**-: Included Topics :-**

Exe-25(a),

Exe-25(b),

Self Revision

Chapter Test

### OP Malhotra Application of Integrals ISC Class-12 Maths Solutions Ch-25

** Introduction :-**

This section contains recollecting the thoughts of finding areas bounded by the curve, definite integral as the limit of a sum, introduces the application of integrals such as the area under simple curves, between lines, parabolas and ellipses.

The average value of a function can be calculated using integration.

The rainfall recorded during a day followed a curve R with specified limits. On integrating the given function from limit x to limit y, we obtain the average amount of rainfall of that particular day.

**Area under simple curves :-**

This section defines the area bounded by the curve y = f(x) using the formula. A few examples are discussed for your reference.

Imagine that you are sharing a round blanket with your sibling. If the two of you are accommodating, then the extent to which you will not be covered will depend on the size of the blanket. In mathematical terms, we define it as the area under the blanket available to the two of you.

These types of problems fall under the category of analysis of the area under curves.

### Exe-25(a),

OP Malhotra Application of Integrals ISC Class-12 Maths Solutions Ch-25

Exe-25(b),

### OP Malhotra Application of Integrals ISC Class-12 Maths Solutions Ch-25

**Area between Two Curves :-**

This section explains the method of finding the area between two curves with solved problems.

It says that the area can be found by dividing the region into a number of pieces of small area and then adding up the area of those tiny pieces. It is easier to find the area if those tiny pieces are vertical in shape.

**Note: **The origin of the Integral Calculus goes back to the early period of development of Mathematics and it is related to the method of exhaustion developed by the

mathematicians of ancient Greece. This method arose in the solution of problems on calculating areas of plane figures, surface areas and volumes of solid bodies etc. In this sense, the method of exhaustion can be regarded as an early method of integration.

### Self Revision

OP Malhotra Application of Integrals ISC Class-12 Maths Solutions Ch-25

Chapter Test

### OP Malhotra Application of Integrals ISC Class-12 Maths Solutions Ch-25

**-: End of Application of Integrals ****S. Chand ISC Class-12 Maths Solution :-**

Return to :- OP Malhotra S. Chand ISC Class-12 Maths Solutions

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