Solve exact equaion X oy [ye² ²² + 1] = xy Reducible to exact ② [4-1]dx + 2*dy=o ③ (2xy ²- since)) 6x + (2+2x²y) dy = 0

5. Use 2- step substitution Se Setan 4x sec2 (4x) dx

Differentiate the function y = In (3x2 – 6x + 7). Choose the correct setup below to start differentiating the function. d d d O A. y' = dx [In (3x2)] -(In (6x)] + -[In 7] dx dx d O B. y' = (3x? - 6x + 7)[3x? - 6x + 7] dx 1 O C. d a[3x2 - 6x + 7] 1 d O D. y' = [3x² – 6x + 7] Зx - 6х +7 dx

Differentiate. 4 (2х + 9)(х + 1)" f(x) = In (1 – 5x)® 6 4 (2x + 9)(x + 1)* In dx d (1 – 5x)®

Jsin(x)cos(2x)sin(3x) dx sin(3x)cos(3x), sin(2x) SmgMcos2x)-1]+ 승 +C 12 8 sin(6x) sin(2x), sin(2x)cos(4x) 슬 +C + 24 8 8 4 sin(6x) sin(2x), sin(2x)cos(2x) + C 4 + 24 8 8 sin(3x)cos(3x) sin(2x)cos(2x) sin(2x) + + + C 12 8 8 4