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)

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)

priyar · Answer

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

priyar · Answer

@hartnn

priyar · Answer

@zepdrix @Astrophysics

anonymous · Answer

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

ganeshie8 · Answer

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

priyar · Answer

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

priyar · Answer

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

anonymous · Answer

good questions :)