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Edited By Kuldeep Maurya | Updated on Jan 24, 2022 12:24 PM IST

The RD Sharma Class 12 Math Solutions have been studied by the whole country for a long time and it has been a huge competition for other publications as well.. RD Sharma Class 12th Exercise 18.20 has 11 questions based on indefinite integrals. The questions in this exercise will be solved only if a student has understood the concept of previous exercise. RD Sharma Solutions This exercise discusses questions based on integrating the function, completing squaring method, and some important formulae used for evaluating the integrals.

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Chapter 18 - Indefinite Integrals - Ex-18.1

Indefinite Integrals Exercise 18.20 Question 1.

(1)

where,

Now,

Multiplying by

Putting

Putting

Put in (1)

Indefinite Integrals Exercise 18.20 Question 2.

Multiplying by

Put x=3

Put x=2

Put in (1)

Indefinite Integrals Exercise 18.20 Question 3.

Hint: Using Partial fraction

Multiplying by

Putting x = 0

Putting x = 2

Put in (1)

Indefinite Integrals Exercise 18.20 Question 4.

Hint: Using partial fraction and

Multiplying by and

Putting x = 2

Putting x = 3

Indefinite Integrals Exercise 18.20 Question 5.

Hint: Using Partial Fraction and

Put x = -2

Put x = -5

Indefinite Integrals Exercise 18.20 Question 6.

Hint: Using Partial Fraction

Indefinite Integrals Exercise 18.20 Question 11.

...................(1) Where

Multiplying by

Putting x = -1

Put in (1)

Indefinite Integrals Exercise 18.12 Question 9

Substitute then

Indefinite Integrals Exercise 18.12 Question 11

The exponent of denominator is 3+5=8. To solve this type of integral, we have to divide both numerator and denominator by then

Substitute then

Rd Sharma Class 12th Exercise 18.20 solutions have numerous benefits The advantages of Class 12 RD Sharma Chapter 18 Exercise 18.20 Solutions are:

**A team of subject experts are behind these solutions:**

A team of experts is behind these solutions. The subject experts have a thorough understanding of the types of questions asked in exams and they prepare the solutions accordingly. Therefore, a student will be able to score high marks in mathematics after going for Rd Sharma Class 12 Chapter 18 Exercise 18.20 solutions.

**The solutions to help you increase your grades:**

These solutions are the best source if a student wants to learn and understand the concept fast. The students will be able to revise at a fast pace with RD Sharma Class 12 Solutions Chapter 18 ex 18.20.

**NCERT Questions covered:**

RD Sharma Class 12 Solutions Indefinite Integrals Ex. 18.20 helps a student to learn from NCERT books because these solutions contain NCERT type questions too.

**Various methods to solve a single question:**

RD Sharma Class 12th Exercise 18.20 helps students find alternative methods to solve a single question. Team of subject experts take utmost care of the type of questions asked and provide answers in such a way that a student can choose which is suitable for him.

**Exceptional performance in exams**

These solutions help a student score high grades in exams. RD Sharma Class 12 Solutions Ex. 18.20 has all the questions that fulfil all the requirements of exams.

**Free of Cost**

There is a misconception that the authorized set of RD Sharma books cost a lot. But the fact is that, the students can download these books from the career 360 website without paying even a single penny.

- Chapter 1 - Relations
- Chapter 2 - Functions
- Chapter 3 - Inverse Trigonometric Functions
- Chapter 4 - Algebra of Matrices
- Chapter 5 - Determinants
- Chapter 6 - Adjoint and Inverse of a Matrix
- Chapter 7 - Solution of Simultaneous Linear Equations
- Chapter 8 - Continuity
- Chapter 9 - Differentiability
- Chapter 10 - Differentiation
- Chapter 11 - Higher Order Derivatives
- Chapter 12 - Derivative as a Rate Measurer
- Chapter 13 - Differentials, Errors and Approximations
- Chapter 14 - Mean Value Theorems
- Chapter 15 - Tangents and Normals
- Chapter 16 - Increasing and Decreasing Functions
- Chapter 17 - Maxima and Minima
- Chapter 18 - Indefinite Integrals
- Chapter 19 - Definite Integrals
- Chapter 20 - Areas of Bounded Regions
- Chapter 21 - Differential Equations
- Chapter 22 - Algebra of Vectors
- Chapter 23 - Scalar Or Dot Product
- Chapter 24 - Vector or Cross Product
- Chapter 25 - Scalar Triple Product
- Chapter 26 - Direction Cosines and Direction Ratios
- Chapter 27 - Straight Line in Space
- Chapter 28 - The Plane
- Chapter 29 - Linear programming
- Chapter 30- Probability
- Chapter 31 - Mean and Variance of a Random Variable

1. What are the bounds of the indefinite integrals?

There are no bounds for indefinite integrals.

2. Which maths textbook is the best for Class 12?

RD Sharma Textbook is the most prestigious book for the Class 12 exam. The CBSE curriculum is strictly followed in RD Sharma's books. It serves as a foundation for preparing for board exams because it contains question papers based on the CBSE syllabus for the subject.

3. Are RD Sharma Class 12th Exercise 18.20 solutions free?

Yes, RD Sharma Class 12th Exercise 18.20 solutions are present in the Career 360 website for free.

4. What are the benefits of RD Sharma solutions?

The Advantages of RD Sharma Solutions for Class 12 Maths:

Career360 expert solutions prepare these solutions with a focus on accuracy.

The solutions to each exercise are easily accessible from the chapters, which are available in pdf format.

Students can use these books to assess their knowledge gaps and study accordingly.

5. What is the indefinite integral of 0?

The integral of 0 is C because the derivative of C (or any constant) is zero. Therefore, ∫0 dx = C.

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