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The class 12 RD Sharma chapter 18 exercise MCQ Indefinite Integrals course of action is particularly trusted and proposed by students and educators across the entire country The appropriate responses in the RD Sharma class 12th exercise MCQ are handpicked and made via prepared experts, making them exact and sensible enough for students In addition, in RD Sharma Solutions class 12 chapter 18 exercise MCQ, the experts offer response keys and some surprising tips in the book that the students presumably will not find elsewhere RD Sharma class 12 solutions MCQ Chapter 18 has around 43 questions

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Chapter 18 - Indefinite Integrals - Ex-18.1

Indefinite Integrals Exercise Multiple Choice Questions Question 1

Hint:

Using

Explanation:

Let

Indefinite Integrals Exercise Multiple Choice Questions Question 2

Hint:

You must know about the

Let

Now,

Indefinite Integrals Exercise Multiple Choice Questions Question 3

Hint:

Using

Let,

Indefinite Integrals Exercise Multiple Choice Questions Question 4

Hint

Using

Let

Divide num and den by

Acc to given,

From Eq ( i ) and ( ii )

Comparing both sides, we get

Indefinite Integrals Exercise Multiple Choice Questions Question 5

Hint:

You must know about the derivation of

Let

Diff w r t t,

Indefinite Integrals Exercise Multiple Choice Questions Question 6

Using

Let

Indefinite Integrals Exercise Multiple Choice Questions Question 7

Using

Let

According to given,

Indefinite Integrals Exercise Multiple Choice Questions Question 8

Hint:

Using identity

Let

Comparing both sides, we get

Indefinite Integrals Exercise Multiple Choice Questions Question 9

Hint:

Using integration by parts &

Let

Indefinite Integrals Exercise Multiple Choice Questions Question 10

Using

Let

According to given:

Comparing both sides,

Indefinite Integrals Exercise Multiple Choice Questions Question 11

Hint:

You must know about the derivation of sin x and cos x and use

Let

[Special step]

Indefinite Integrals Exercise Multiple Choice Questions Question 12

None of these

Using

Let

Here two cases arise

Combining these two, we get

Indefinite Integrals Exercise Multiple Choice Questions Question 13

Hint

Using

Let

Indefinite Integrals Exercise Multiple Choice Questions Question 14

Hint:

Using integration by parts

Let

Indefinite Integrals Exercise Multiple Choice Questions Question 15

Hint:

Using

Let

Indefinite Integrals Exercise Multiple Choice Questions Question 16

Hint:

You must know about the derivation of tan x and using

Let

Indefinite Integrals Exercise Multiple Choice Questions Question 17

Hint:

Using partial fraction and

Let

Now,

Multiplying by t (t - 1)

Putting t = 1

Indefinite Integrals Exercise Multiple Choice Questions Question 18

Hint:

Using

Let

Indefinite Integrals Exercise Multiple Choice Questions Question 19

Hint:

You must know about the derivative of cos x and

Explanation:

Let

Indefinite Integrals Exercise Multiple Choice Questions Question 20

Hint:

You must know about the derivation of cot x and

Let

Indefinite Integrals Exercise Multiple Choice Questions Question 21

Hint:

You must know about the

Hence

Option (a) is correct

Indefinite Integrals Exercise Multiple Choice Questions Question 22

Hint:

You must know about the

Let

Hence,

Indefinite Integrals Exercise Multiple Choice Questions Question 23

Hint:

You must know about the derivation of tan x and

Let

Put

Hence,

Indefinite Integrals Exercise Multiple Choice Questions Question 24

Hint:

You must know about the

Let

Hence primitive of

Indefinite Integrals Exercise Multiple Choice Questions Question 25

Hint:

Using

Let

Hence,

Indefinite Integrals Exercise Multiple Choice Questions Question 26

is equal to:

Hint:

You must know about the

Let I

Indefinite Integrals Exercise Multiple Choice Questions Question 27

Hint:

You must know about the rule to integrate by parts

Let

Hence,

Indefinite Integrals Exercise Multiple Choice Questions Question 28

Hint:

You must know about the derivation of sin and cos function and

Let

Hence,

Indefinite Integrals Exercise Multiple Choice Questions Question 29

Hint:

You must know the derivation of sin x and rule to integrate by parts

Let

Acc to given

Comparing both sides

We get,

Indefinite Integrals Exercise Multiple Choice Questions Question 30

Hint:

Using

Let

Hence,

Indefinite Integrals Exercise Multiple Choice Questions Question 31

Hint:

You must know about the integration of cos x

Let

Hence,

Indefinite Integrals Exercise Multiple Choice Questions Question 32

Hint:

Using

Let

Hence,

Indefinite Integrals Exercise Multiple Choice Questions Question 33

Hint:

Using

Let

Acc to given

On comparing, we get

Indefinite Integrals Exercise Multiple Choice Questions Question 34

Hint:

You must know how to integrate and

Explanation:

Let

Indefinite Integrals Exercise Multiple Choice Questions Question 35

Hint:

Using partial fraction and and

Let

Let

Multiplying by , we get

Putting x = -2

Putting x = 0

Putting x = +1

Acc to given

Indefinite Integrals Exercise Multiple Choice Questions Question 36

Hint:

You must know the rule to integrate by parts

Let

Indefinite Integrals Exercise Multiple Choice Questions Question 37

Hint:

Using

We are given that

Differentiate both sides

Comparing co eff of like terms, we get

Indefinite Integrals Exercise Multiple Choice Questions Question 38

Hint:

Using integration by parts

Let

Indefinite Integrals Exercise Multiple Choice Questions Question 39

Hint:

Using integration by parts and

Let

Indefinite Integrals Exercise Multiple Choice Questions Question 40

Hint:

Using integration by parts and

Explanation:

Let

Indefinite Integrals Exercise Multiple Choice Questions Question 41

Hint:

Using

Let

Indefinite Integrals Exercise Multiple Choice Questions Question 42

Hint:

Using

Let

Indefinite Integrals Exercise Multiple Choice Questions Question 43

Hint:

Using integration by parts and

Let

Hence,

In this class 12 RD Sharma chapter 18 exercise MCQ. At Career360 Class 12 Maths, RD Sharma Class 12 Solutions Indefinite Integrals Ex MCQ helps students get a fair academic score in the exam.

This chapter of RD Sharma class 12th exercise MCQ Indefinite Integrals primary based on the possibility of soundness. Students can download the RD Sharma class 12 solutions MCQ Chapter 18 Indefinite Integrals to look into this theme.

Some important concepts like:-

Definition of primitive or antiderivative

Questions related to Fundamental integration formulae

Questions related to Integration of trigonometric functions

Geometrical interpretation of indefinite integral

Questions related to Comparison between differentiation and integration

Methods of integration

Questions related to Integration by substitution

Questions related to Integration by parts

Questions related to some important integrals along with theorems

- 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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There are 43 inquiries in RD Sharma class 12th exercise MCQ.

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