Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.1

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Tamilnadu Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.1

Integrate the following with respect to ‘x’:
Question 1.
(i) x11
(ii) \(\frac{1}{x^{7}}\)
(iii) \(\sqrt[3]{x^{4}}\)
(iv) \(\left(x^{5}\right)^{\frac{1}{8}}\)
Solution:
Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.1 1

Question 2.
(i) \(\frac{1}{\sin ^{2} x}\)
(ii) \(\frac{\tan x}{\cos x}\)
(iii) \(\frac{\cos x}{\sin ^{2} x}\)
(iv) \(\frac{1}{\cos ^{2} x}\)
Solution:
Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.1 2

Question 3.
(i) 123
(ii) \(\frac{x^{24}}{x^{25}}\)
(iii) ex
Solution:
Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.1 3

Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.1

Question 4.
(i) (1 + x2)-1
(ii) \(\left(1-x^{2}\right)^{-\frac{1}{2}}\)
Solution:
Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.1 4

Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.1 Additional Problems

Integrate the following with respect to x.
Question 1.
(i) \(\sqrt{x^{7}}\)
(ii) (x10)1/7
Solution:
Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.1 5

Question 2.
(i) \(\frac{1}{x^{5}}\)
(ii) x-1
(iii) \(\frac{1}{x^{5 / 2}}\)
Solution:
Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.1 6

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