Evaluate the following integrals:


Let cosx = t

- sinxdx = dt


Now the integral we have is



Using BY PART METHOD. Using the superiority list as ILATE (Inverse Logarithm Algebra Trigonometric Exponential). Taking the first function to the one which comes first in the list.


Here logt is first function and 1 as the second function.




Replacing t with cosx



1