NCERT Solutions for Class 12 Maths Chapter 7 – Integrals Exercise 7.9

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Chapter 7 – Integrals Exercise 7.9

1.

 Q1 NCERT Class 12 definite integral involving root and algebraic expression
 Q1 integral setup using square root simplification

2.

Q2 definite integral using rational function and transformation technique
Q2 transformation applied to rational function
Q2-simplified final value under definite limits

3.

Q3 Class 12 integration involving trigonometric expression under limits
Q3 trigonometric function broken using identities
Q3 complete integral solved with limits

4.

Q4 integral question requiring substitution and identity simplification
Q4 substitution applied and function transformed

5.

Q5 NCERT definite integral involving product of trig functions
Q5 trigonometric product simplified for integration

6.

Class-12 Integrals Exercise-7.9 Question 6-efinite integral using logarithmic function in the integrand- NCERT
Class-12 Integrals Exercise-7.9 Question 6 logarithmic function integrated step-by-step- NCERT Answer
Class-12 Integrals Exercise-7.9 Question 6  answer image showing final evaluated integral- NCERT Answer

7.

Class-12 Integrals Exercise-7.9 Question 7-question on exponential integration with bounds- NCERT
Class-12 Integrals Exercise-7.9 Question 7 exponential integration shown with limits- NCERT Answer
Class-12 Integrals Exercise-7.9 Question 7 final simplified integral value- NCERT Answer

8.

Class-12 Integrals Exercise-7.9 Question 8-algebraic simplification and trigonometric identity-NCERT
Class-12 Integrals Exercise-7.9 Question 8 algebraic and trig terms rearranged for integration- NCERT Answer

9.

Class-12 Integrals Exercise-7.9 Question 9-integration problem using definite limits and substitution-NCERT
Class-12 Integrals Exercise-7.9 Question 9 substitution and simplification before integration- NCERT Answer
Class-12 Integrals Exercise-7.9 Question 9 final result after applying limits- NCERT Answer

10.

Class-12 Integrals Exercise-7.9 Question 10 -combining logarithmic and rational functions under definite integration-NCERT
 Q10 Class 12 solution with proper simplification and result

Download Exercise 7.9 NCERT Solutions PDF

You can download the PDF from the link below for offline study

Class 12 Maths Chapter 7 – Integrals: All Exercises

ExerciseLink
Exercise 7.1View Solutions
Exercise 7.2View Solutions
Exercise 7.3View Solutions
Exercise 7.4View Solutions
Exercise 7.5View Solutions
Exercise 7.6View Solutions
Exercise 7.7View Solutions
Exercise 7.8View Solutions
Exercise 7.10View Solutions
Miscellaneous ExerciseView Solutions

Class 12 Integrals- Exercise 7.9 Overview

Exercise 7.9 is when everything begins to really link with knowledge from the outside world. Unlike previous activities emphasizing technique, this one more emphasizes definite integrals with limits, therefore guiding students in realizing the usage of integration across particular intervals. Here is when the idea of area under curves really comes to light

Working with definite integrals utilizing a number of properties and common techniques, Integrals Class 12 NCERT Solutions Exercise 7.9 will test you. The objective is to comprehend what the integral denotes over a specific domain rather than only solve a problem. It is more about knowing the link between functions and the space they occupy than about formulas.

This activity guides students toward visualizing integration geometrically in line with the revised 2025 NCERT syllabus, therefore arming them not only for tests but also for knowledge of integration’s application in disciplines including physics, data analysis, and economics.

By the time you complete Chapter 7 Class 12 NCERT Solutions Exercise 7.9, you will not only be more competent in handling problems with limits but also more qualified to tackle application-based questions in boards and admission exams.

FAQs – Integrals Class 12 Exercise 7.9 NCERT

I sometimes mix upper and lower bounds. For any advice?

Clearly write them from the beginning; then, before combining, double-check. Recall: reversal of them alters the sign of the response.

Should one practice using calculator tools for definite integrals?

For education, indeed. But practice personally to avoid reliance during tests.

Will knowing Exercise 7.9 help on JEE and other competitive tests?

Yes. Usually using trick questions based on symmetry and characteristics, JEE and related tests routinely examine definite integrals.

For this practice, do I have to commit fresh formulas to memory?

Not many. You generally use already-existing formulas from past assignments within specified limitations of integration.

Class 12 Maths Chapters

Chapter 1 – Relations and Functions
Chapter 2 – Inverse Trigonometric Functions
Chapter 3 – Matrices
Chapter 4 – Determinants
Chapter 5 – Continuity and Differentiability
Chapter 6 – Application of Derivatives
Chapter 7 – Integrals
Chapter 8 – Application of Integrals
Chapter 9 – Differential Equations
Chapter 10 – Vector Algebra
Chapter 11 – Three Dimensional Geometry
Chapter 12 – Linear Programming
Chapter 13 – Probability

Important Questions for Class 12