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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 x^{2} e^{3x}

(iii) x^{2} cos x

(iv) x^{3} sin x

Solution:

Question 3.

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

(ii) x^{2} 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 cosec^{2} x

Solution:

Question 2.

x cos 5x cos 2x

Solution:

Question 3.

x^{2} e^{2x}

Solution:

Question 4.

Solution:

Question 5.

cosec^{3} x

Solution:

Question 6.

sec^{3} 2x

Solution: