hey .
I need some help in integrating sinx(1+cosx) I've tried doing integration by parts but got in a big mess.
Help would be greatly appreciated
thankyou
ellie
Another way:
Spoiler:
which is equivalent to TheCoffeeMachine's answer. I have used k as the constant of integration because I have shown that the two answers are equivalent below
Hey thanks for all your help. the limits were pi and 0 and when i sub them in to both of your answers I get 2 which is right but in the markscheme the integral they have is
-0.5(1+cosx)^2 . I cant see how they have got that. Im a bit confused
Hey thanks for all your help. the limits were pi and 0 and when i sub them in to both of your answers I get 2 which is right but in the markscheme the integral they have is
-0.5(1+cosx)^2 . I cant see how they have got that. Im a bit confused
Put (1+cosx) = t
then -sinx*dx = dt
So the integration becomes
-intg(t)dt. That is equal to
-0.5t^2
= -0.5(1+cosx)^2