Q14 of 865 Page 19

Evaluate the following integrals:

Convert cotx in form of sinx and cosx.


⇒


∴ The equation now becomes


⇒


⇒


⇒


Assume cosx + sinx = t


∴ d(cosx + sinx) = dt


= cosx - sinx


∴ dt = cosx – sinx


⇒


= ln|t| + c


But t = cosx + sinx


∴ ln|cosx + sinx| + c.


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