Students can download 12th Business Maths Chapter 2 Integral Calculus I Ex 2.1 Questions and Answers, Samacheer Kalvi 12th Business Maths Book Solutions Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks in your examinations.

## Tamilnadu Samacheer Kalvi 12th Business Maths Solutions Chapter 2 Integral Calculus I Ex 2.1

Integrate the following with respect to x.

Question 1.

\(\sqrt{3 x+5}\)

Solution:

Question 2.

\(\left(9 x^{2}-\frac{4}{x^{2}}\right)^{2}\)

Solution:

Question 3.

(3 + x)(2 – 5x)

Solution:

Question 4.

√x(x^{3} – 2x + 3)

Solution:

Question 5.

\(\frac{8 x+13}{\sqrt{4 x+7}}\)

Solution:

Question 6.

\(\frac{1}{\sqrt{x+1}+\sqrt{x-1}}\)

Solution:

Question 7.

If f'(x) = x + b, f(1) = 5 and f(2) = 13, then find f(x)

Solution:

f'(x) = x + b

Integrating both sides of the equations

Question 8.

If f(x) = 8x^{3} – 2x and f(2) = 8, then find f(x)

Solution:

f'(x) = 8x^{3} – 2x

Integrating both sides of the equation,