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=\frac{\pi}{4} and x=\beta>\frac{\pi}{4} is (\beta \sin \beta+\frac{\pi}{4} \cos \beta+\sqrt{2} \beta). Then f (\frac{\pi}{2}) is [AIEEE 2005]

Correct Answer is : (1−π4+√2)

AIEEE 2005 Math Solved Paper

Section: Mathematics

Question : 41 of 71

Marks: +1, -0

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=‌

and x=β>‌

is (βsin‌β+‌

‌cos‌β+√2β). Then f(‌

) is

[AIEEE 2005]

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