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## Tamilnadu Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.10

Find the integrals of the following

Question 1.

(i) \(\frac{1}{4-x^{2}}\)

(ii) \(\frac{1}{25-4 x^{2}}\)

(iii) \(\frac{1}{9 x^{2}-4}\)

Solution:

Question 2.

Solution:

(i) Let I = \(\int \frac{1}{6 x-7-x^{2}} d x\)

Consider, -x^{2} + 6x – 7 = -[x^{2} – 6x + 4]

= -[(x – 3)^{2} – 9 + 7]

Question 3.

Solution:

### Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.10 Additional Problems

Question 1.

Solution:

Question 2.

Solution:

Question 3.

Solution: