حل ∫ x^5 wrt x

$$\int x ^ { 5 } d x$$

تقدير القيمة

$$\frac{x^{6}}{6}+С$$

خطوات الحل

Since \int x^{k}\mathrm{d}x=\frac{x^{k+1}}{k+1} for k\neq -1, replace \int x^{5}\mathrm{d}x with \frac{x^{6}}{6}.

$$\frac{x^{6}}{6}$$

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.

$$\frac{x^{6}}{6}+С$$

تفاضل w.r.t. x

$$x^{5}$$