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
Samacheer Kalvi 12th Business Maths Guide Chapter 2 Integral Calculus I Miscellaneous Problems 1

Samacheer Kalvi 12th Business Maths Guide Chapter 2 Integral Calculus I Miscellaneous Problems

Question 2.
∫\(\frac { dx }{2-3x-2x^2}\)
Solution:
Samacheer Kalvi 12th Business Maths Guide Chapter 2 Integral Calculus I Miscellaneous Problems 2

Question 3.
∫\(\frac { dx }{e^x+6+5e^{-x}}\)
Solution:
Samacheer Kalvi 12th Business Maths Guide Chapter 2 Integral Calculus I Miscellaneous Problems 3

Samacheer Kalvi 12th Business Maths Guide Chapter 2 Integral Calculus I Miscellaneous Problems

Question 4.
∫\(\sqrt { 2x^2-3}\) dx
Solution:
Samacheer Kalvi 12th Business Maths Guide Chapter 2 Integral Calculus I Miscellaneous Problems 4

Question 5.
∫\(\sqrt { 9x^2+12x+3}\) dx
Solution:
Samacheer Kalvi 12th Business Maths Guide Chapter 2 Integral Calculus I Miscellaneous Problems 5
Samacheer Kalvi 12th Business Maths Guide Chapter 2 Integral Calculus I Miscellaneous Problems 6

Samacheer Kalvi 12th Business Maths Guide Chapter 2 Integral Calculus I Miscellaneous Problems

Question 6.
∫(x + 1)² log x dx
Solution:
∫udv = uv – ∫vdu
∫(x + 1)² log x dx
Samacheer Kalvi 12th Business Maths Guide Chapter 2 Integral Calculus I Miscellaneous Problems 7

Question 7.
∫log (x – \(\sqrt { x^2-1}\)) dx
Solution:
Samacheer Kalvi 12th Business Maths Guide Chapter 2 Integral Calculus I Miscellaneous Problems 8
Samacheer Kalvi 12th Business Maths Guide Chapter 2 Integral Calculus I Miscellaneous Problems 9

Samacheer Kalvi 12th Business Maths Guide Chapter 2 Integral Calculus I Miscellaneous Problems

Question 8.
\(\int_{0}^{1}\) \(\sqrt { x(x-1)}\) dx
Solution:
Samacheer Kalvi 12th Business Maths Guide Chapter 2 Integral Calculus I Miscellaneous Problems 10

Question 9.
\(\int_{-1}^{1}\) x² e-2x dx
Solution:
Samacheer Kalvi 12th Business Maths Guide Chapter 2 Integral Calculus I Miscellaneous Problems 11

Samacheer Kalvi 12th Business Maths Guide Chapter 2 Integral Calculus I Miscellaneous Problems

Question 10.
\(\int_{0}^{3}\) \(\frac { xdx }{\sqrt {x+1} + \sqrt{5x+1}}\)
Solution:
Samacheer Kalvi 12th Business Maths Guide Chapter 2 Integral Calculus I Miscellaneous Problems 12

Samacheer Kalvi 12th Business Maths Guide Chapter 2 Integral Calculus I Miscellaneous Problems

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