Let f(x) be a non - negative continuous function such that the area bounded by the curve y=f(x), x-axis and the ordinates x=\;{π}/{4} and x=β\;{π}/{4} is (β sin \;β+\;{π}/{4} \cos β+{√{2}} β) . Then f (\;{π}/{2}) is

Question

Let f(x) be a non - negative continuous function such that the area bounded by the curve y=f(x), x-axis and the ordinates x=\;{π}/{4} and x=β>\;{π}/{4} is  (β  sin \;β+\;{π}/{4} \cos β+{√{2}} β) . Then f (\;{π}/{2})  is

Examsnet · Accepted Answer

Correct Answer is : (1−‌π4+√2)

AIEEE 2005 Math Solved Paper