Լուծեք ∫ v_{0}cosθ_{0}e^-kt

$$\int v _ { 0 } \cos \theta _ { 0 } e ^ { - k t }$$

Գնահատել

$$v_{0}x\cos(\frac{\theta _{0}}{e^{kt}})+С$$

Լուծման քայլերը

Find the integral of v_{0}\cos(\frac{\theta _{0}}{e^{kt}}) using the table of common integrals rule \int a\mathrm{d}x=ax.

$$v_{0}\cos(\frac{\theta _{0}}{e^{kt}})x$$

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.

$$v_{0}\cos(\frac{\theta _{0}}{e^{kt}})x+С$$

Տարբերակել վերագրած x-ը

$$v_{0}\cos(\frac{\theta _{0}}{e^{kt}})$$