integral of ln(6x^2)

解答

\int ln (6 x^{2}) d x

x (ln (6) + 2 ln (x)) - 2 x + C

求解步骤

\int ln (6 x^{2}) d x

使用分布积分法

= x ln (6 x^{2}) - \int 2 d x

\int 2 d x = 2 x

= x ln (6 x^{2}) - 2 x

化简

ln (6 x^{2}) : 2 ln (x) + ln (6)

= x (ln (6) + 2 ln (x)) - 2 x

解答补常数

= x (ln (6) + 2 ln (x)) - 2 x + C

y d x + x d y = 0

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t a y l or sin (π x)