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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) 9xe3x
(ii) x sin 3x
(iii) 25xe-5x
(iv) x sec x tan x
Solution:
Question 2.
(i) x log x
(ii) 27 x2 e3x
(iii) x2 cos x
(iv) x3 sin x
Solution:
Question 3.
(i) \(\frac{x \sin ^{-1} x}{\sqrt{1-x^{2}}}\)
(ii) x2 ex2
(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 e2x
Solution:
Question 4.
Solution:
Question 5.
cosec3 x
Solution:
Question 6.
sec3 2x
Solution: