# Part - 15 Lecture - 4 Chapter 7 Integrals

“If you do what you always did, you will get what you always got.”

## SPECIAL CASES FOR ALL THE THREE METHODS

31. $\int\frac{cos{x}dx}{(1-sin{x})(2-sin{x})}=\log{\left|\frac{2-sin{x}}{1-sin{x}}\right|}+C$

32. $\int \frac{1}{x[6(\log x)^2+7\log x+2]}dx= \log \left | \frac{2\log x+1}{3\log x+2} \right | +C$

33. $\int\frac{e^x}{(e^x+1)(2+e^x)}dx=\ log{\left(\frac{1+e^x}{2+e^x}\right)}+C$