Please answer this question. 

Asked by dineshchem108 | 5th Jul, 2019, 05:56: PM

Expert Answer:

y = tan x
dy/dx = sec2 x
dy/dx = sec2 ∏/4 = 2
begin mathsize 16px style straight A equals integral subscript 0 superscript straight pi over 4 end superscript space tanxdx space equals space 1 half log space 2
Equation space of space tangent space
straight y minus 1 equals 2 open parentheses straight x minus straight pi over 4 close parentheses
straight x equals straight pi over 4 minus 1 half
Area space of space increment ABC equals 1 half cross times open parentheses straight pi over 4 minus open parentheses straight pi over 4 minus 1 half close parentheses close parentheses equals 1 fourth
Required space area equals 1 half log space 2 minus 1 fourth end style

Answered by Sneha shidid | 8th Jul, 2019, 11:08: AM