RD Sharma Class 12 Solutions - Definite Integrals - 1

# RD Sharma Class 12 Solutions - Definite Integrals - 1 | Mathematics (Maths) Class 12 - JEE PDF Download

``` Page 1

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

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

20. Definite Integrals
Exercise 20.1
1. Question
Evaluate the following definite integrals:
Using the formula:
? 3 × 2 – 2 × 2
? 6 – 4 = 2
2. Question
Evaluate the following definite integrals:
Using the formula:
? log 3 + 7 – log –2+7
? log |10|– log |5|
3. Question
Evaluate the following definite integrals:
Using the formula:
4. Question
Evaluate the following definite integrals:
Using the formula:
5. Question
Evaluate the following definite integrals:
Let
? On differentiation, we get
2 x dx = dt
? Hence the question will become:
Using the formula:
?
?
?
?
?
6. Question
Evaluate the following definite integrals:
Now, Using the formula:
7. Question
Evaluate the following definite integrals:
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:
Using the formula:
? 3 × 2 – 2 × 2
? 6 – 4 = 2
2. Question
Evaluate the following definite integrals:
Using the formula:
? log 3 + 7 – log –2+7
? log |10|– log |5|
3. Question
Evaluate the following definite integrals:
Using the formula:
4. Question
Evaluate the following definite integrals:
Using the formula:
5. Question
Evaluate the following definite integrals:
Let
? On differentiation, we get
2 x dx = dt
? Hence the question will become:
Using the formula:
?
?
?
?
?
6. Question
Evaluate the following definite integrals:
Now, Using the formula:
7. Question
Evaluate the following definite integrals:
Using the formula:
?
? [tan
–1
(1) – tan
–1
(– 1) ]
?
?
8. Question
Evaluate the following definite integrals:
Using the formula:
9. Question
Evaluate the following definite integrals:
Using the formula:
(? log 1 = 0 )
```

## Mathematics (Maths) Class 12

204 videos|288 docs|139 tests

## Mathematics (Maths) Class 12

204 videos|288 docs|139 tests

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