展开 ln(2x)(xln(3x)-x)

解答

展开

ln (2 x) (x ln (3 x) - x)

x ln (2 x) ln (3 x) - x ln (2 x)

求解步骤

ln (2 x) (x ln (3 x) - x)

使用分配律:

a (b - c) = ab - a c

a = ln (2 x), b = x ln (3 x), c = x

= ln (2 x) x ln (3 x) - ln (2 x) x

= x ln (2 x) ln (3 x) - x ln (2 x)

e x p an d \frac{1}{( x ^{2} + 2 ) ( x ^{2} + 3 )}

e x p an d \frac{- 4 - 3 s}{( x + 1 ) ^{2}}

e x p an d (cos (x) cos (y) - cot (x)) d x - (sin (x) sin (y)) d y

e x p an d 8 (ln (x) + 1)

e x p an d \frac{5 x}{e ^{x} ( 1 + x )}