Réitigh ∫ ln2x*x wrt x

$$\int \ln 2 x \cdot x d x$$

Luacháil

$$x\ln(x^{2})+\ln(2)x-2x+С$$

Céimeanna Réitigh

Fág an úsáid leanúnach do\int af\left(x\right)\mathrm{d}x=a\int f\left(x\right)\mathrm{d}x as an áireamh.

$$\frac{\int \ln(2xx)\mathrm{d}x}{\ln(e)}$$

Simpligh.

$$\frac{x\left(\ln(2)+\ln(x^{2})-2\right)}{\ln(e)}$$

Simpligh.

$$x\left(\ln(2)+\ln(x^{2})-2\right)$$

Má tá F\left(x\right) mar frithdhíorthach do f\left(x\right), beidh tacar do frithdhíorthach uile do f\left(x\right) a thabhairt ag F\left(x\right)+C. Mar sin de, cur an comhtháthú leanúnach C\in \mathrm{R} don toradh.

$$x\left(\ln(2)+\ln(x^{2})-2\right)+С$$

Difreálaigh w.r.t. x

$$\ln(x^{2})+\ln(2)$$