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Study Better With RS Aggarwal Class 12 Solutions Chapter-14 Some Special Integrals

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Last updated date: 22nd Mar 2024
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Class 12 RS Aggarwal Chapter-14 Some Special Integrals Solutions - Free PDF Download

The RS Aggarwal Class 12 Chapter 14 Solution Pdf is curated specially for the students to understand the concepts of differentiation and integration and their various formulas which can be used in rational, trigonometric, logarithmic, and other types of integral functions.


On the other hand, RS Aggarwal Solutions For Class 12 Maths Chapter 14 are solved by teachers who teach the concept of integration for half a decade. They know every concept very well. Thus, you know you can rely on the solutions and methods used to solve them.

Competitive Exams after 12th Science

Benefits of Solving RS Aggarwal Class 12 Chapter 14 Some Special Integrals

RS Aggarwal is an excellent textbook that has some practical problems for students of class 12. Using the solutions from Vedantu, something as challenging as RS Aggarwal can be made simple. 

 

Some special integrals, like its name suggests, is an extraordinary chapter. It highlights some unique things which make this chapter very interesting. Vedantu wishes all the students luck and thanks to them for their constant support. This Solutions PDF is our way to help you more in your goal of getting the marks that you truly deserve and seek.

 

By solving the problems in this chapter, you will become more accustomed to the integrals and will be able to use the learned concepts later in advanced courses.

 

RS Aggarwal Class 12 Chapter 14 Solution - Free PDF Download

Given below, we have written down all the special formulas you need to solve RS Aggarwal Solutions For Class 12 Maths Chapter 14 problems.

  • ∫ 1 dx = x + C

  • ∫ a dx = ax+ C

  • ∫ sin x dx = – cos x + C

  • ∫ cos x dx = sin x + C

  • ∫ sec2 dx = tan x + C

  • ∫ csc2 dx = -cot x + C

  • ∫ sec x (tan x) dx = sec x + C

  • ∫ csc x ( cot x) dx = – csc x + C

  • ∫ ex dx = ex+ C

 

The integral formulas, which we have written above, can be classified into the written functions below.

  • Rational functions

  • Irrational functions

  • Trigonometric functions

  • Inverse trigonometric functions

  • Hyperbolic functions

  • Inverse hyperbolic functions

  • Exponential functions

  • Logarithmic functions

  • Gaussian functions

 

The RS Aggarwal Class 12 Some Special Integrals is not an easy topic. Thus, we at Vedantu solve every single equation written for integration by ourselves and then give out the solution Pdf to our students. Download the Pdf file from Vedantu and start solving those challenging integration problems with confidence. Our RS Aggarwal Class 12 Maths Chapter 14 Pdf does contain miscellaneous integration questions to help students prepare for the JEE competitive exams.

FAQs on Study Better With RS Aggarwal Class 12 Solutions Chapter-14 Some Special Integrals

1. What are Integrals in Calculus and How do we Write them?

Integrals in calculus can also be termed as an integration, which adds slices to find the whole. On the other hand, many times we use integration to find out the areas, volumes, central points, and many other useful things that we cannot find by simple math formulas like the area of square or volume of a cylinder. If you have found out the derivative of the given problem, you can reverse it to find out its integral.


To write down an integral we need notation, which is an integral symbol we put to the function we want to find the integral of this symbol is also known as Integrand, and then we finish off with dx. Also, there is a Plus C when we are writing an integration termed as constant integration.

2. Define the Integration Chain Rule, and Where do we use it?

The other word for the reverse chain rule is u-substitution which is a method to find an integral, but this can only happen when the given equation is set up in a unique way where we get to have both g(x) and its derivative g’(x) in the same equation.


The integration chain rule helps in finding the summation of a vast scale. Calculating the small equation is an easy task if you know the concept and have already solved some of the questions. But when the equation is relatively big or complicated, then the integration chain rule is applied to get to the answer.

3. Why Learning About Integration and Differentiation is Essential?

Integration and differentiation are quite useful in daily life. When you are trying to find out the area of a given figure that is not exactly a square or even a rectangle, you need something else to find out the answer, and that’s where you can use these two mathematical tools. Likewise, both integration and differentiation are mathematical formulas that can be used in the real world. You might think you can use the cylinder area, but no that’s not true, no cylinder is accurate to use the formula of area of a cylinder. So that’s when you need these two mathematical concepts to find out the answer.

4. How important is the chapter on Some Special Integrals for Class 12 examinations?

Some special integral is a significant chapter for students of class 12. It focuses on adding extensive knowledge to the Calculus chapters learned previously. It helps solve complex integration problems in the test with ease and helps in increasing your chances of scoring well in Calculus as a whole. Refer to the solutions provided here from Vedantu, and do not miss out on the opportunity to score well in this chapter! Students can practice more questions on Some special Integrals from RS Aggarwal class 12.

5. Do I have to spend money to use the RS Aggarwal Class 12 Solutions for the chapter of Some Special Integrals?

The solutions for the 14th Chapter- Some Special Integrals from RS Aggarwal for the students of class 12 are completely free. You do not have to spend one penny to use these resources from Vedantu. Use these solutions as a catalyst in your preparation to ensure complete clarity in a chapter. The good part is that you can download solutions for every chapter in the RS Aggarwal class 12. Click here to download solutions by Vaedantu for all the Mathematics chapters from RS Aggarwal Class 12.