حل ∫ 6tlnt

$$\int 6 t \ln t$$

تقدير القيمة

$$6tx\ln(t)+С$$

خطوات الحل

Find the integral of 6t\log_{e}\left(t\right) using the table of common integrals rule \int a\mathrm{d}x=ax.

$$6t\log_{e}\left(t\right)x$$

تبسيط.

$$6t\ln(t)x$$

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.

$$6t\ln(t)x+С$$

تفاضل w.r.t. x

$$6t\ln(t)$$