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Chapter 8 Class 12 Application of Integrals

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Updated for 2023-2024 NCERT!

Learn Chapter 8 Application of Integrals (AOI) of Class 12 free with solutions of all NCERT Questions for CBSE Maths. We will learn how to find area using Integration in this chapter.

We will use what we have studied in the last chapter, Chapter 7 Integration to solve questions.

 

The topics covered in the chapter include

  • Area of simple curves - Using ∫ x dy and  ∫ y dx
  •  Area bounded by curve and a horizontal or vertical line - Example: Area of curve y = x2 and line y = 4
  • Area between curve and line - Example: Area of circle x2 + y2 = 32, and line y = x
  • Area between two or three curves - Example: Area of region enclosed between  x2 + y2 = 4 and (x – 2)2 + y2 = 4.

Serial order wise

  Ex 8.1
  Examples
  Miscellaneous
  Case Based Questions (MCQ)
  Area between 2 curves

Concept wise

  Area under curve
  Area bounded by curve and horizontal or vertical line
  Area between curve and line
  Area between curve and curve

What's in it?

Updated for 2023-2024 NCERT!

Learn Chapter 8 Application of Integrals (AOI) of Class 12 free with solutions of all NCERT Questions for CBSE Maths. We will learn how to find area using Integration in this chapter.

We will use what we have studied in the last chapter, Chapter 7 Integration to solve questions.

 

The topics covered in the chapter include

  • Area of simple curves - Using ∫ x dy and  ∫ y dx
  •  Area bounded by curve and a horizontal or vertical line - Example: Area of curve y = x2 and line y = 4
  • Area between curve and line - Example: Area of circle x2 + y2 = 32, and line y = x
  • Area between two or three curves - Example: Area of region enclosed between  x2 + y2 = 4 and (x – 2)2 + y2 = 4.