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## Tamilnadu Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.3

Integrate the following w.r.to x.

Question 1.

(x + 4)^{5} + \(\frac{5}{(2-5 x)^{4}}\) – cosec^{2}(3x – 1)

Solution:

Question 2.

4cos(5 – 2x) + 9e^{3x-6} + \(\frac{24}{6-4 x}\)

Solution:

Question 3.

sec^{2}\(\frac{x}{5}\) + 18 cos 2x + 10 sec (5x + 3) tan (5x + 3)

Solution:

Question 4.

\(\frac{8}{\sqrt{1-(4 x)^{2}}}+\frac{27}{\sqrt{1-9 x^{2}}}-\frac{15}{1+25 x^{2}}\)

Solution:

Question 5.

Solution:

Question 6.

Solution:

### Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.3 Additional Problems

Question 1.

5x^{4} + 3(2x + 3)^{4} – 6(4 – 3x)^{5}

Solution:

Question 2.

4 – \(\frac{5}{x+2}\) + 3 cos 2x

Solution:

Question 3.

9 cosec^{2}(px – q) – 6(1 – x)^{4} + 4e^{3 – 4x}

Solution:

Question 4.

\(\frac{4}{(3+4 x)}\) + (10x + 3)^{9} – 3cosec(2x + 3) cot (2x + 3)

Solution:

Question 5.

a sec^{2}(bx + c) + \(\frac{q}{e^{l-m x}}\)

Solution:

Question 6.

Solution:

Question 7.

Solution: