Here we provide RD Sharma Class 12 Ex 19.28 Solutions Chapter 19 Indefinite Integrals for English medium students, Which will very helpful for every student in their exams. Students can download the latest Sharma Class 12 Ex 19.28 Solutions Chapter 19 Indefinite Integrals book pdf download. Now you will get step-by-step solutions to each question.

Textbook | NCERT |

Class | Class 12th |

Subject | Maths |

Chapter | 19 |

Exercise | 19.28 |

Category | RD Sharma Solutions |

### Question 1. Find

**Solution:**

Let considered x – 1 = t,

so that dx = dt

Thus,

### Question 2. Evaluate

**Solution:**

Let I =

### Question 3. Evaluate

**Solution:**

I =

Hence,

### Question 4. Evaluate

**Solution:**

Let I =

Therefore, I =

### Question 5.

**Solution:**

I =

Let us considered sinx = t

So, on differentiating, we get

cosx dx = dt

I =

Therefore, I =

### Question 6. Evaluate

**Solution:**

I =

Let us considered e

^{x}= tSo, on differentiating, we get

e

^{x}dx = dtTherefore, I =

Hence, I =

### Question 7. Evaluate

**Solution:**

I =

We already have,

Therefore, I =

### Question 8. Evaluate

**Solution:**

Let us assume I =

Therefore, I =

### Question 9. Evaluate

**Solution:**

Let us assume I =

Therefore, I =

### Question 10. Evaluate

**Solution:**

Let us assume I =

Therefore, I =

### Question 11. Evaluate

**Solution:**

Let us assume I =

Therefore, I =

### Question 12. Evaluate

**Solution:**

Let us assume x

^{2}= tOn differentiating we get

2x dx = dt

Therefore, I =

Hence, I =

### Question 13. Evaluate

**Solution:**

I =

Let us considered x

^{3}= tSo, on differentiating, we get

3x

^{2}dx = dtTherefore, I =

Hence, I =

### Question 14. Evaluate

**Solution:**

I =

Let us considered logx = t

So, on differentiating, we get

1/x dx = dt

Therefore, I =

Hence, I =

### Question 15. Evaluate

**Solution:**

I =

Therefore, I =

### Question 16. Evaluate

**Solution:**

Let I =

I =

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