What will be the value of this? Integration secxd(sec x)

1 Answer
Feb 9, 2018

sec2x12tan2x+C

Explanation:

This is integration of the product of two functions. One is sec x and the other is ddx(secx)

Let first function be secx and the second function be ddx(secx).

Application of the product rule of integration is:

first function * integral of second - differentiation of first *integral of second

Now applying this rule would result in following:

sec x * sec x - secx tanx * sec x dx

=sec2xsec2xtanxdx Hint: [let tan x =t so that sec^ x dx =dt]

=sec2x12tan2x+C