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

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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:
Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.12 1

(ii) \(\sqrt{x^{2}-2 x-3}\)
Solution:
Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.12 2
Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.12 3

(iii) \(\sqrt{(6-x)(x-4)}\)
Solution:
Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.12 4

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

Question 2.
(i) \(\sqrt{9-(2 x+5)^{2}}\)
Solution:
Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.12 5

(ii) \(\sqrt{81+(2 x+1)^{2}}\)
Solution:
Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.12 6

(iii) \(\sqrt{(x+1)^{2}-4}\)
Solution:
Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.12 7

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

Question 1.
\(\sqrt{(x+1)^{2}+4}\)
Solution:
Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.12 8

Question 2.
\(\sqrt{(2 x+1)^{2}+9}\)
Solution:
Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.12 9

Question 3.
\(\sqrt{x^{2}-3 x+10}\)
Solution:
Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.12 10

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

Question 4.
\(\sqrt{169-(3 x+1)^{2}}\)
Solution:
Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.12 11

Question 5.
\(\sqrt{1-3 x-x^{2}}\)
Solution:
Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.12 12

Question 6.
\(\sqrt{(2-x)(3+x)}\)
Solution:
Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.12 13
Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.12 14

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