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## Tamilnadu Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.2

Integrate the following functions w.r.to ‘x’.

Question 1.

(i) (x + 5)^{6}

(ii) \(\frac{1}{(2-3 x)^{4}}\)

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

Solution:

Question 2.

(i) sin 3x

(ii) cos (5 – 11x)

(iii) cosec^{2} (5x – 7)

Solution:

Question 3.

(i) e^{3x – 6}

(ii) e^{8 – 7x}

(iii) \(\frac{1}{6-4 x}\)

Solution:

Question 4.

(i) sec^{2}\(\frac{x}{5}\)

(ii) cosec (5x + 3) cot (5x + 3)

(iii) sec (2 – 15x) tan (2 – 15x)

Solution:

Question 5.

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

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

(iii) \(\frac{1}{1+36 x^{2}}\)

Solution:

### Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.2 Additional Problems

Question 1.

(3x + 4)^{6}

Solution:

Question 2.

\(\frac{1}{(x+5)^{4}}\)

Solution:

Question 3.

\(\frac{1}{p+q x}\)

Solution:

Question 4.

cos(4x + 5)

Solution:

Question 5.

cosec^{2}(7 – 11x)

Solution:

Question 6.

sec(3 + x) tan(3 + x)

Solution:

Question 7.

cosec(3 – 2x) cot(3 – 2x)

Solution:

Question 8.

e^{3x + 2}

Solution:

Question 9.

\(\frac{1}{\sin ^{2}(l-m x)}\)

Solution:

Question 10.

(lx + m)^{1/2}

Solution: