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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) x^{11}

(ii) \(\frac{1}{x^{7}}\)

(iii) \(\sqrt[3]{x^{4}}\)

(iv) \(\left(x^{5}\right)^{\frac{1}{8}}\)

Solution:

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:

Question 3.

(i) 12^{3}

(ii) \(\frac{x^{24}}{x^{25}}\)

(iii) e^{x}

Solution:

Question 4.

(i) (1 + x^{2})^{-1}

(ii) \(\left(1-x^{2}\right)^{-\frac{1}{2}}\)

Solution:

### 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) (x^{10})^{1/7}

Solution:

Question 2.

(i) \(\frac{1}{x^{5}}\)

(ii) x^{-1}

(iii) \(\frac{1}{x^{5 / 2}}\)

Solution: