Tamilnadu State Board New Syllabus Samacheer Kalvi 12th Business Maths Guide Pdf Chapter 2 Integral Calculus I Miscellaneous Problems Text Book Back Questions and Answers, Notes.

## Tamilnadu Samacheer Kalvi 12th Business Maths Solutions Chapter 2 Integral Calculus I Miscellaneous Problems

Question 1.
∫$$\frac { 1 }{\sqrt{x-1}-\sqrt{x+3}}$$ dx
Solution:
∫$$\frac { 1 }{\sqrt{x+2}-\sqrt{x+3}}$$ dx
Conjugating the Denominator

Question 2.
∫$$\frac { dx }{2-3x-2x^2}$$
Solution:

Question 3.
∫$$\frac { dx }{e^x+6+5e^{-x}}$$
Solution:

Question 4.
∫$$\sqrt { 2x^2-3}$$ dx
Solution:

Question 5.
∫$$\sqrt { 9x^2+12x+3}$$ dx
Solution:

Question 6.
∫(x + 1)² log x dx
Solution:
∫udv = uv – ∫vdu
∫(x + 1)² log x dx

Question 7.
∫log (x – $$\sqrt { x^2-1}$$) dx
Solution:

Question 8.
$$\int_{0}^{1}$$ $$\sqrt { x(x-1)}$$ dx
Solution:

Question 9.
$$\int_{-1}^{1}$$ x² e-2x dx
Solution:

Question 10.
$$\int_{0}^{3}$$ $$\frac { xdx }{\sqrt {x+1} + \sqrt{5x+1}}$$
Solution:

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