If you are looking for Class 12 NCERT integration solutions you have come to the right place. Integration is one of the most important topics in Class 12 Maths. Here you will find NCERT Solutions for Class 12 Maths Integration Exercise 7.8 (based on definite integration), solved step by step. These solutions follow the CBSE […]
Class 12 Integration Exercise 7.8 NCERT Solutions (Definite Integration) Read More »
Description:In this post, we discuss some important properties of definite integrals which simplify calculations and make evaluation easier. These properties are frequently used in NCERT Class 12 Mathematics and are very useful for solving integration problems in board exams and competitive exams like JEE. Introduction The definite integral not only represents the area under a
This exercise is based on formulas for integration, before you start the exercise it is advised that you go through the formulas from the following link. Important integration formulas Q 1: Integrate Solution: Let We use the standard formula: Here , so: Final Answer: Q 2: Integrate Solution: Let Let Then: Using: Here, Substitute back
Class 12 NCERT Maths – Chapter 7, Exercise 7.7 Solutions Read More »
Download the CBSE class 12 sample paper 2026 PDF and get a clear idea of the exam style, section-wise question paper along with the answers in the marking scheme as released by CBSE board. This student-friendly guide helps you gauge your preparation for the full range of subjects. Keep reading to access all subject-wise links
Class 12 CBSE Sample Question Paper and Marking Scheme for 2025-26 Read More »
Download the CBSE class 10 sample paper 2025-26 PDF and get a clear idea of the exam style, section-wise question paper along with the answers in the marking scheme as released by CBSE board. This student-friendly guide helps you gauge your preparation for the full range of subjects. Keep reading to access all subject-wise links
Class 10 CBSE Sample Question Paper and Marking Scheme for 2025-26 Read More »
Question 1: Integrate Solution: Take Differentiate : Integrate : By parts formula: Substitute values: Final Answer: Question 2: Integrate Solution: Take Differentiate : Integrate : By parts formula: Substitute values: Final Answer: Question 3: Integrate Solution: Take Differentiate : Integrate : By parts formula: Substitute values: Now, solve using by parts again:
Class 12 NCERT Maths – Chapter 7, Exercise 7.6 Solutions (Integrals by parts) Read More »
This is a free quiz/test based on the chapter Indefinite Integration from Class 12th Maths.This quiz covers only the basic concepts of the chapter. Give this quiz seriously and access you level of preparations.
Q1. Evaluate Solution:Let , so . Substitute: So, Final Answer: Q2. Evaluate Solution:Write , which matches the formula: Let , so . So, Substitute back : Final Answer: Q3. Evaluate Solution:Let . So, Substitute back : Final Answer: Q4. Evaluate Solution:Write , which matches the formula: Let . So, Substitute back : Final Answer: Q5.
Q1. Find Solution:Recall, So, Therefore, Integrate, Final Answer: Q2. Find Solution:Use product-to-sum: So, Integrate, Final Answer: Q3. Find Solution:First, use product-to-sum for two cosines: So, Now, Now expand both terms: So, Now integrate term by term: Final Answer: Q4. Find Solution:Recall, So, Integrate, Using, So, We can also simplify this further Using, So, Substitute this
What are Partial Fractions? Steps for Using Partial Fractions Types of Partial Fractions Notes Tip:Whenever you see a rational function, first try to write it in one of the forms above. This will make integration much easier! Example of Partial Fraction Decomposition Express as a sum of partial fractions. Step 1: Identify the Form: The
