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RD Sharma Class 12 Solutions Indefinite Integrals Ex 18.29 examining material is one of the most staggering course books for class 12 maths explicitly for students planning simple tests. The RD Sharma solutions meets an incredible essential of maths questions. Rd Sharma Class 12th exercise 18.29 is an accomplishment for every understudy. One book that has been given to students for rehearsing and tackling for Rd Sharma Class 12th exercise 18.29.

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Chapter 18 - Indefinite Integrals - Ex-18.1

Indefinite Integrals Exercise 18.29 Question 1

Answer :Hint: To solve the given integration, we express the linear term as a derivative of quadratic into constant plus another constant

Given :

Solution :

Comparing the coefficient of x and constant terms, we get

For first integral let

Usinf formula,

Indefinite Integrals Exercise 18.29 Question 2

Answer :Hint: To solve the given integration, we express the linear term as a derivative of quadratic into constant plus another constant

Given :

Solution :

....(i)

Use the formula :

....(ii)

Adding (i) and (ii) ;

Indefinite Integrals Exercise 18.29 Question 3

Answer :Hint: To solve the given integration, we express the linear term as a derivative of quadratic into constant plus another constant

Given :

Solution :

Again,

Now,

For the second integral :

Let,

Use the formula :

Indefinite Integrals Exercise 18.29 Question 4

Answer :Hint: To solve the given integration, we express the linear term as a derivative of quadratic into constant plus another constant

Given :

Solution :

Now comparing the coefficients of x and the constant term, we get

For the first integral, let

Indefinite Integrals Exercise 18.29 Question 5

Answer:Hint: To solve the given integration, we express the linear team as a derivative of quadratic into constant plus another constant

Given:

Solution: Let,

Now comparing the coefficients of x and the constant term, we get

For first integral, let,

For second integral,

So, the integral becomes

Use the formula :

Indefinite Integrals Exercise 18.29 Question 6

Answer :Hint: We solve this integration by qualitative derivation.

Given:

Let,

Now comparing the coefficients of x and the constant term, we get

For the first integral : Let,

Use the formula :

Indefinite Integrals Exercise 18.29 Question 7

Answer :Hint : To solve the given integration, we express the linear term as a derivative of quadratic into constant plus another constant

Given :

Solution :

For thr first integral: Let,

Indefinite Integrals Exercise 18.29 Question 8

Answer :Hint:To solve the given integration, we express the linear term as a derivative of quadratic into constant plus another constant

Given :

Solution :

Let,

Use the formula :

And

Indefinite Integrals Exercise 18.29 Question 9

Answer :Hint: To solve the given integration, we express the linear term as a derivative of quadratic into constant plus another constant

Given:

For the first integral :

Let

Use the formula :

And

Indefinite Integrals Exercise 18.29 Question 10

Answer :Hint : To solve the given integration, we express the linear term as a derivative of quadratic into constant plus another constant

Given :

Let,

Comparing the coefficient of x and the constant terms, we get

For the first integral : Let

Use the formula :

And

Indefinite Integrals Exercise 18.29 Question 11

Answer :Hint: To solve the given integration, we express the linear term as a derivative of quadratic into constant plus another constant

Given :

Solution :

Comparing the coefficient of x and the constant terms, we get

For the second integral:

Let

Use the formula :

And

Indefinite Integrals Exercise 18.29 Question 12

Answer :Hint: To solve the given integration, we express the linear term as a derivative of quadratic into constant plus another constant

Given :

Solution :

Use the formula :

And

Indefinite Integrals Exercise 18.29 Question 13

Answer :Hint: To solve the given integration, we express the linear team as a derivative of quadratic into constant plus another constant

Given :

Solution :

Comparing the coefficient of x and the constant terms, we get

and

For the first integral :

Use the formula :

And

Indefinite Integrals Exercise 18.29 Question 14

Answer :Hint: To solve the given integration, we express the linear team as a derivative of quadratic into constant plus another constant

Given:

Solution :

Comparing the coefficient of x and the constant terms, we get

For the first integral:

Use the formula :

And

Rd Sharma class 12 chapter 18 exercise 18.29 has around 14 inquiries, including its subparts, and it consolidates themes like: -

Assessment of integrals by utilizing mathematical replacements like first need to solve the quadratic equation then proceed with the differentiation and integration

Questions based on the Formula of Integration

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Download E-book**RD Sharma Chapter-wise Solutions**

- 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

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