integral of ln^2(x)

解答

\int ln^{2} (x) d x

x ln^{2} (x) - 2 (x ln (x) - x) + C

求解步骤

\int ln^{2} (x) d x

使用分布积分法

= x ln^{2} (x) - \int 2 ln (x) d x

\int 2 ln (x) d x = 2 (x ln (x) - x)

= x ln^{2} (x) - 2 (x ln (x) - x)

解答补常数

= x ln^{2} (x) - 2 (x ln (x) - x) + C

y^{^{''}} - 4 y^{^{'}} + 4 y = 12 t e^{2 t} + 6 e^{2 t} + 24 - 12 t

\int \frac{1}{( D \cdot E ) - ( D \cdot \frac{F}{G} x )} d x

\frac{d}{d x} ((- 2 x^{3} + 2 x^{2})^{4})

\frac{d}{d x} ((x + 2)^{- 1})

d er i v a t i v e f (x) = x^{2} (1 - 2 x)