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RD Sharma Solutions JEE Maths Class 12 Class 12 Solutions - Definite Integrals

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20. Definite Integrals
Exercise 20.1
1. Question
Evaluate the following definite integrals:
Answer
Using the formula:
? 3 × 2 – 2 × 2
? 6 – 4 = 2
2. Question
Evaluate the following definite integrals:
Answer
Using the formula:
? log 3 + 7 – log –2+7
? log |10|– log |5|
Page 2


20. Definite Integrals
Exercise 20.1
1. Question
Evaluate the following definite integrals:
Answer
Using the formula:
? 3 × 2 – 2 × 2
? 6 – 4 = 2
2. Question
Evaluate the following definite integrals:
Answer
Using the formula:
? log 3 + 7 – log –2+7
? log |10|– log |5|
3. Question
Evaluate the following definite integrals:
Answer
Using the formula:
4. Question
Evaluate the following definite integrals:
Answer
Using the formula:
Page 3


20. Definite Integrals
Exercise 20.1
1. Question
Evaluate the following definite integrals:
Answer
Using the formula:
? 3 × 2 – 2 × 2
? 6 – 4 = 2
2. Question
Evaluate the following definite integrals:
Answer
Using the formula:
? log 3 + 7 – log –2+7
? log |10|– log |5|
3. Question
Evaluate the following definite integrals:
Answer
Using the formula:
4. Question
Evaluate the following definite integrals:
Answer
Using the formula:
5. Question
Evaluate the following definite integrals:
Answer
Let 
? On differentiation, we get
2 x dx = dt
? Hence the question will become:
Using the formula:
? 
? 
? 
? 
? 
6. Question
Evaluate the following definite integrals:
Answer
Page 4


20. Definite Integrals
Exercise 20.1
1. Question
Evaluate the following definite integrals:
Answer
Using the formula:
? 3 × 2 – 2 × 2
? 6 – 4 = 2
2. Question
Evaluate the following definite integrals:
Answer
Using the formula:
? log 3 + 7 – log –2+7
? log |10|– log |5|
3. Question
Evaluate the following definite integrals:
Answer
Using the formula:
4. Question
Evaluate the following definite integrals:
Answer
Using the formula:
5. Question
Evaluate the following definite integrals:
Answer
Let 
? On differentiation, we get
2 x dx = dt
? Hence the question will become:
Using the formula:
? 
? 
? 
? 
? 
6. Question
Evaluate the following definite integrals:
Answer
Now, Using the formula:
7. Question
Evaluate the following definite integrals:
Answer
Using the formula:
? 
? [tan
–1
 (1) – tan
–1
 (– 1) ]
? 
? 
8. Question
Evaluate the following definite integrals:
Page 5


20. Definite Integrals
Exercise 20.1
1. Question
Evaluate the following definite integrals:
Answer
Using the formula:
? 3 × 2 – 2 × 2
? 6 – 4 = 2
2. Question
Evaluate the following definite integrals:
Answer
Using the formula:
? log 3 + 7 – log –2+7
? log |10|– log |5|
3. Question
Evaluate the following definite integrals:
Answer
Using the formula:
4. Question
Evaluate the following definite integrals:
Answer
Using the formula:
5. Question
Evaluate the following definite integrals:
Answer
Let 
? On differentiation, we get
2 x dx = dt
? Hence the question will become:
Using the formula:
? 
? 
? 
? 
? 
6. Question
Evaluate the following definite integrals:
Answer
Now, Using the formula:
7. Question
Evaluate the following definite integrals:
Answer
Using the formula:
? 
? [tan
–1
 (1) – tan
–1
 (– 1) ]
? 
? 
8. Question
Evaluate the following definite integrals:
Answer
Using the formula:
9. Question
Evaluate the following definite integrals:
Answer
Using the formula:
(? log 1 = 0 )
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May 22, 2026 Last updated
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Document Description: RD Sharma Class 12 Solutions - Definite Integrals - 1 for JEE 2026 is part of Mathematics (Maths) Class 12 preparation. The notes and questions for RD Sharma Class 12 Solutions - Definite Integrals - 1 have been prepared according to the JEE exam syllabus. Information about RD Sharma Class 12 Solutions - Definite Integrals - 1 covers topics like and RD Sharma Class 12 Solutions - Definite Integrals - 1 Example, for JEE 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for RD Sharma Class 12 Solutions - Definite Integrals - 1.
Introduction of RD Sharma Class 12 Solutions - Definite Integrals - 1 in English is available as part of our Mathematics (Maths) Class 12 for JEE & RD Sharma Class 12 Solutions - Definite Integrals - 1 in Hindi for Mathematics (Maths) Class 12 course. Download more important topics related with notes, lectures and mock test series for JEE Exam by signing up for free. JEE: RD Sharma Class 12 Solutions - Definite Integrals - 1
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