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NCERT solutions for Mathematics [English] Class 12 chapter 8 - Application of Integrals [Latest edition]

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NCERT solutions for Mathematics [English] Class 12 chapter 8 - Application of Integrals - Shaalaa.com
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Solutions for Chapter 8: Application of Integrals

Below listed, you can find solutions for Chapter 8 of CBSE, Karnataka Board PUC NCERT for Mathematics [English] Class 12.


EXERCISE 8.1Miscellaneous Exercise
EXERCISE 8.1 [Page 296]

NCERT solutions for Mathematics [English] Class 12 8 Application of Integrals EXERCISE 8.1 [Page 296]

EXERCISE 8.1 | Q 1. | Page 296

Find the area of the region bounded by the ellipse  `x^2/16 + y^2/9 = 1.`

EXERCISE 8.1 | Q 2. | Page 296

Find the area of the region bounded by the ellipse `x^2/4 + y^2/9 = 1.`

Choose the correct answer in the following Exercises 3 and 4.

EXERCISE 8.1 | Q 3. | Page 296

Area lying in the first quadrant and bounded by the circle x2 + y2 = 4 and the lines x = 0 and x = 2 is ______.

  • `pi`

  • `pi/2`

  • `pi/3`

  • `pi/4`

EXERCISE 8.1 | Q 4. | Page 296

Area of the region bounded by the curve y2 = 4x, y-axis and the line y = 3 is ______.

  • 2

  • `9/4`

  • `9/3`

  • `9/2`

Miscellaneous Exercise [Page 298]

NCERT solutions for Mathematics [English] Class 12 8 Application of Integrals Miscellaneous Exercise [Page 298]

Miscellaneous Exercise | Q 1. (i) | Page 298

Find the area under the given curve and given line:

y = x2, x = 1, x = 2 and x-axis

Miscellaneous Exercise | Q 1. (ii) | Page 298

Find the area under the given curve and given line:

y = x4, x = 1, x = 5 and x-axis

Miscellaneous Exercise | Q 2. | Page 298

Sketch the graph of y = |x + 3| and evaluate `int_(-6)^0 |x + 3|dx`

Miscellaneous Exercise | Q 3. | Page 298

Find the area bounded by the curve y = sin x between x = 0 and x = 2π.

Choose the correct answer in the following Exercises from 4 to 5.

Miscellaneous Exercise | Q 4. | Page 298

Area bounded by the curve y = x3, the x-axis and the ordinates x = –2 and x = 1 is ______.

  • −9

  • `(-15)/4`

  • `15/4`

  • `17/4`

Miscellaneous Exercise | Q 5. | Page 298

The area bounded by the curve y = x | x|, x-axis and the ordinates x = –1 and x = 1 is given by ______.

[Hint: y = x2 if x > 0 and y = –x2 if x < 0]

  • 0

  • `1/3`

  • `2/3`

  • `4/3`

Solutions for 8: Application of Integrals

EXERCISE 8.1Miscellaneous Exercise
NCERT solutions for Mathematics [English] Class 12 chapter 8 - Application of Integrals - Shaalaa.com

NCERT solutions for Mathematics [English] Class 12 chapter 8 - Application of Integrals

Shaalaa.com has the CBSE, Karnataka Board PUC Mathematics Mathematics [English] Class 12 CBSE, Karnataka Board PUC solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. NCERT solutions for Mathematics Mathematics [English] Class 12 CBSE, Karnataka Board PUC 8 (Application of Integrals) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

Concepts covered in Mathematics [English] Class 12 chapter 8 Application of Integrals are Area of the Region Bounded by a Curve and a Line, Area Between Two Curves, Area Under Simple Curves, Area of the Region Bounded by a Curve and a Line, Area Between Two Curves, Area Under Simple Curves.

Using NCERT Mathematics [English] Class 12 solutions Application of Integrals exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in NCERT Solutions are essential questions that can be asked in the final exam. Maximum CBSE, Karnataka Board PUC Mathematics [English] Class 12 students prefer NCERT Textbook Solutions to score more in exams.

Get the free view of Chapter 8, Application of Integrals Mathematics [English] Class 12 additional questions for Mathematics Mathematics [English] Class 12 CBSE, Karnataka Board PUC, and you can use Shaalaa.com to keep it handy for your exam preparation.

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