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## Tamilnadu Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.12

Integrate the following with respect to x:

Question 1.

(i) \(\sqrt{x^{2}+2 x+10}\)

Solution:

(ii) \(\sqrt{x^{2}-2 x-3}\)

Solution:

(iii) \(\sqrt{(6-x)(x-4)}\)

Solution:

Question 2.

(i) \(\sqrt{9-(2 x+5)^{2}}\)

Solution:

(ii) \(\sqrt{81+(2 x+1)^{2}}\)

Solution:

(iii) \(\sqrt{(x+1)^{2}-4}\)

Solution:

### Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.12 Additional Problems

Question 1.

\(\sqrt{(x+1)^{2}+4}\)

Solution:

Question 2.

\(\sqrt{(2 x+1)^{2}+9}\)

Solution:

Question 3.

\(\sqrt{x^{2}-3 x+10}\)

Solution:

Question 4.

\(\sqrt{169-(3 x+1)^{2}}\)

Solution:

Question 5.

\(\sqrt{1-3 x-x^{2}}\)

Solution:

Question 6.

\(\sqrt{(2-x)(3+x)}\)

Solution: