another trig integration question (1 Viewer)

[frodo]

A curve has a gradient function given by dy/dx= sin2x. the curve passes through the point (pi, 3) find the equation of the curve?

thankyou. i have the solution but not a worked answer

 

[Xayma]

dy/dx=sin 2x
dy=sin 2x dx
∫ dy=∫ sin 2x dx
y=-1/2 cos 2x+C
when y=3
x= π

3=-1/2 cos 2 π +C
3=-1/2+C
C=3 1/2

∴
y=-1/2 cos 2x +3 1/2

 

[frodo]

you're a champ mate, thanks heaps. i've got an assessment on this tomorrow, hope i go alright hey.