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

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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 + \(\frac{5}{(2-5 x)^{4}}\) – cosec²(3x – 1)
Solution:

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

Question 3.
sec²\(\frac{x}{5}\) + 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.
5x⁴ + 3(2x + 3)⁴ – 6(4 – 3x)⁵
Solution:

Question 2.
4 – \(\frac{5}{x+2}\) + 3 cos 2x
Solution:

Question 3.
9 cosec²(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 sec²(bx + c) + \(\frac{q}{e^{l-m x}}\)
Solution:

Question 6.

Solution:

Question 7.

Solution: