حل ∫ lnu

$$\int \ln u$$

تقدير القيمة

$$x\ln(u)+С$$

خطوات الحل

Find the integral of \log_{e}\left(u\right) using the table of common integrals rule \int a\mathrm{d}x=ax.

$$\log_{e}\left(u\right)x$$

تبسيط.

$$\ln(u)x$$

If F\left(x\right) is an antiderivative of f\left(x\right), then the set of all antiderivatives of f\left(x\right) is given by F\left(x\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.

$$\ln(u)x+С$$

تفاضل w.r.t. x

$$\ln(u)$$