RS Aggarwal Class 12 Solutions Chapter-13 Method of Integration

Chapter 13 of the Class 12 maths syllabus is an essential introductory chapter of calculus. This chapter describes the methods of integration. Students should learn the formulas first. After that, they should solve the sums from the exercises using those methods. They should practice as many sums as possible to be efficient in this topic. The exercise of chapter 13 includes different integral questions. Students should solve all the sums and practice them several times. They can follow RS Aggarwal class 12 methods of the integration solution to get a clear idea of solving these sums. They should learn the methods of integration and practice the formulas thoroughly. The RS Aggarwal class 12 methods of integration solution will help the students address their doubts from this chapter as well.

RS Aggarwal Class 12 Maths Chapter 13 Solutions

An introductory chapter of class 12 calculus is the method of integration. This chapter contains different methods of integration. The methods are explained with mathematical examples. The students should practice more examples of this chapter to be an expert on this topic. The exercise of this chapter includes different mathematical problems of integration. It would be a great help if the students get solved exercise problems. RS Aggarwal provides solutions for the exercise of chapter 13 class 12 maths. RS Aggarwal solutions class 12 maths chapter 13 solutions are a great practicing element for the students. This solution paper is written by an expert and experienced maths teacher. RS Aggarwal Class 12 solutions integration PDF is available online for the students. The students can download the solution paper and read it accordingly. After completing the entire syllabus, the students should read RS Aggarwal solutions class 12 maths chapter 13 solutions. They should practice the exercise of chapter 13 repeatedly.

Benefits of RS Aggarwal Solutions Class 12 Maths Chapter 13 Solutions

As the students of class 12 are learning calculus at the primary stage, they need to refer to reliable study materials. RS Aggarwal exercise solution of chapter 13 on Vedantu is one of the most recommended study resources for the students of Class 12. Students will benefit from the solutions in many ways. The benefits of referring to the RS Aggarwal solutions are mentioned below.

• The solutions are prepared by experienced maths teachers, which helps students to get a concept of integration.

• The problems are solved in easy-to-understand methods so that the students can cover them fast and practice accordingly.

• Referring to the detailed stepwise solutions enables students to solve the problems on their own.

• By practicing these solutions, students will become more efficient in integration and they will gain confidence in their exam preparation.

• Students can learn different methods of solving the sums of integration from these RS Aggarwal solutions.

Solved Examples

1. Solve, ∫ dt
Solution

Put log x = t

1/x dx = dt

∫

dt/t

dt/t = log t + c 

          = log(log x) +c

Where c is constant of integration

2. Solve, ∫ t2 dt

Solution

Put log x = t

 1/x dx = dt

 ∫ t2 dt = t3/3 + c 

          = (log x)3/3 + c

Where c is constant of integration

3. Solve, ∫ t5 (dt/2) 

Solution

Put 2x + 9 = t

2dx = dt

∫ t5 (dt/2) = 1/2 ∫ t5 dt 

              = 1/2 (t6/6) + c 

              = t6/12 + c

              = (2x+9)6/12

Where c is constant of integration

4. Solve, ∫ cos⁡t 2dt 

Solution

Put √x = t

Or, 1/2√x dx = dt

 ∫ cos⁡t 2dt = 2 sin⁡t + c

                = 2 sin⁡√x + c

Where c is constant of integration

5. Solve, ∫ et dt
Solution

Put tan x = t 

Or, sec2x dx = dt

∫ et dt = et + c

         = etan x + c

Where c is constant of integration.