1.selesaikanlah integral tak tentu berikut ini : a. integral (3x-4) (x+!) b.integral 6sin 4xcosx dx
zenshin
Integral (3x-4)(x+1) = integral (3xkuadrat -x - 4) = xpangkat3 -1/2xkuadrat - 4x +c
integral 6sin4x cox dx = integral 3 .(2sin4xcosx) = 3 integral sin (4x+x) + sin (4x-x) = 3 integral sin 5x + sin 3x = 3 (1/5 cos 5x + 1/3 cosn 3x) +c = 3/5 cos 5x + cos 3x +c
= xpangkat3 -1/2xkuadrat - 4x +c
integral 6sin4x cox dx = integral 3 .(2sin4xcosx)
= 3 integral sin (4x+x) + sin (4x-x)
= 3 integral sin 5x + sin 3x
= 3 (1/5 cos 5x + 1/3 cosn 3x) +c
= 3/5 cos 5x + cos 3x +c