Important : But note the point where mistakes happens comes after this , because integral of sec^2 x is tan x is used by everyone , but here it is not correct.
ACTUALLY The Mistake in the Question is that.
NCERT PROFESSORS, CBSE, PAPER SETTERS (In all the FOUR YEARS
2014, 2014C, 2010, 2008)
AND
EVERY MATHEMATICS FACULTY GIVING THE SOLUTION HAVE MADE MISTAKE IN USING THE THEOREM NAMELY
FUNDAMENTAL THEOREM OF CALCULUS
THAT IS WHY I AM SAYING THAT SOLUTION OF EVERYBODY IS WRONG
NOTE THAT IN FUNDAMENTAL THEOREM OF CALCULUS IT IS CLEARLY MENTIONED THAT THE
INTEGRAND MUST BE A
CONTINUOUS FUNCTION IN THE
INTERVAL OF INTEGRATION, Which is not taken care of in Making the Question and Writing Solution
THAT IS WHY EVERYONE IS GETTING WRONG ANSWER
THE COMPLETE EXPLAINATION IS GIVEN IN VIDEO -
R. K. MALIK