area

q71

@NishantThakre
I have solved for second part@NishantThakre
any idea how to prove first from my method?

yes i am also stuck at first one
can somebody solve it please@SanketBiradar
i didnt understand the solution
they considered area of trapezium formed by points like
(n,0),(n+1,0) (n,f(n)) (n+1,f(n+1))

@NishantThakre
Can u share the image of soln

i didnt understand what they did in last few steps

Like in first we made rectangles and proved that sum is less than Integration in that interval like I have shown in my soln
Now they have made trapeziums these trapeziums ka upper side curve ke upar hoga na kyuki concave up curve hai like that side will be small chords to the curve to now since these trapeziums ka thoda curve ke upar area hai so it will be more than the Integration in that interval
Please inform again if have a doubt