# RD Sharma Class 12 Ex 19.28 Solutions Chapter 19 Indefinite Integrals

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.

### Question 1. Find

Solution:

Let considered x – 1 = t,

so that dx = dt

Thus,

Solution:

Let I =

Solution:

I =

Hence,

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 ex = t

So, on differentiating, we get

exdx = dt

Therefore, I =

Hence, I =

Solution:

I =

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 x2 = t

On differentiating we get

2x dx = dt

Therefore, I =

Hence, I =

### Question 13. Evaluate

Solution:

I =

Let us considered x3 = t

So, on differentiating, we get

3x2dx = dt

Therefore, 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 =

Solution:

I =

Therefore, I =

### Question 16. Evaluate

Solution:

Let I =

I =

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