Students can download 12th Business Maths Chapter 2 Integral Calculus I Ex 2.8 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 2.8

I. Using second fundamental theorem, evaluate the following:

Question 1.

\(\int_{0}^{1} e^{2 x} d x\)

Solution:

Question 2.

\(\int_{0}^{\frac{1}{4}} \sqrt{1-4 x} d x\)

Solution:

Question 3.

\(\int_{1}^{2} \frac{x d x}{x^{2}+1}\)

Solution:

Question 4.

\(\int_{0}^{3} \frac{e^{x} d x}{1+e^{x}}\)

Solution:

Question 5.

\(\int_{0}^{1} x e^{x^{2}} d x\)

Solution:

Question 6.

\(\int_{1}^{e} \frac{d x}{x(1+\log x)^{3}}\)

Solution:

Question 7.

\(\int_{-1}^{1} \frac{2 x+3}{x^{2}+3 x+7} d x\)

Solution:

Question 8.

\(\int_{0}^{\frac{\pi}{2}} \sqrt{1+\cos x} d x\)

Solution:

Question 9.

\(\int_{1}^{2} \frac{x-1}{x^{2}} d x\)

Solution:

II. Evaluate the following:

Question 1.

Solution:

Question 2.

Solution:

Question 3.

Solution:

Question 4.

Solution: