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• RD Sharma Class 12 Solutions for Maths

# Class 12 RD Sharma Solutions – Chapter 19 Indefinite Integrals – Exercise 19.28

### 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 ex = t

So, on differentiating, we get

exdx = dt

Therefore, I = Hence, I = ### Question 7. Evaluate 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 = ### Question 15. Evaluate Solution:

I =  Therefore, I = ### Question 16. Evaluate Solution:

Let I =  I = My Personal Notes arrow_drop_up
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