Differentiate and Evaluate (1 Viewer)

[Kutay]

" Differentiate xsinx and hence evaluate
Integra sign between pi over 2 and 0 xcosx dx"

i can do it but yeh what a clarificationon the right answer because this question they ask a lot in exams and i want to nail it

btw sorry about all the questions but i am quite thankful for the help

 

[Slidey]

y=xsinx
y'=x.cosx+1.sinx
y'=xcosx+sinx

integral of xcosx = integral of (xcosx+sinx)-sinx = [xsinx+cosx] from 0 to pi/2

=(pi/2+0)-(0+1)
=pi/2 - 1

I think that's what you're asking.