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=pi/4 and..(the rest of the q is below)

Answer 1

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

Answer 2

@hartnn

Answer 3

@zepdrix @Astrophysics

Answer 4

I can't help here but try using desmos calculator! it helped me a lot in the past

Answer 5

Hint :
\[f(\beta) = \dfrac{d}{d\beta}\int\limits_{\pi/4}^{\beta} f(x)\,dx \]

Answer 6

thanks for the hint @ganeshie8 ..I got it!

Answer 7

the answer is 1-pi/4 +(2)^1/2 !

Answer 8

good questions :)