You can Download Samacheer Kalvi 11th Maths Book Solutions Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations.

## Tamilnadu Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.9

Integrate the following with respect to x

Question 1.

e^{x} (tan x + log sec x)

Solution:

Question 2.

e^{x}\(\left(\frac{x-1}{2 x^{2}}\right)\)

Solution:

Question 3.

e^{x} sec x (1 + tan x)

Solution:

I = ∫ e^{x} sec x (1 + tan x) dx

I = ∫ e^{x} (sec x + sec x tan x) dx

f(x) = sec x

f'(x) = sec x tan x

[∫ e^{x} [f (x) + f (x)] dx = e^{x} f(x) + c]

I = e^{x} sec x + c

Question 4.

e^{x} \(\left(\frac{2+\sin 2 x}{1+\cos 2 x}\right)\)

Solution:

Question 5.

Solution:

Question 6.

Solution: