Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.7

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Tamilnadu Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.7

Integrate the following with respect to x
Question 1.
(i) 9xe^3x
(ii) x sin 3x
(iii) 25xe^-5x
(iv) x sec x tan x
Solution:

Question 2.
(i) x log x
(ii) 27 x² e^3x
(iii) x² cos x
(iv) x³ sin x
Solution:

Question 3.
(i) \(\frac{x \sin ^{-1} x}{\sqrt{1-x^{2}}}\)
(ii) x² e^x2
(iii) \(\tan ^{-1}\left(\frac{8 x}{1-16 x^{2}}\right)\)
(iv) \(\sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right)\)
Solution:

Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.7 Additional Problems

Question 1.
x cosec² x
Solution:

Question 2.
x cos 5x cos 2x
Solution:

Question 3.
x² e^2x
Solution:

Question 4.

Solution:

Question 5.
cosec³ x
Solution:

Question 6.
sec³ 2x
Solution: