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cosx-dx-cosx-dx-




Question Number 167884 by mathlove last updated on 28/Mar/22
∫cosx dx−∫cosx dx=?
$$\int{cosx}\:{dx}−\int{cosx}\:{dx}=? \\ $$
Answered by ArielVyny last updated on 28/Mar/22
seriously??
$${seriously}?? \\ $$
Answered by Mathspace last updated on 29/Mar/22
∫ cosx dx=sinx +c_1   ∫ cosx dx=sinx +c_2  ⇒  ∫cosx dx−∫cosxdx=c_1 −c_2 =λ
$$\int\:{cosx}\:{dx}={sinx}\:+{c}_{\mathrm{1}} \\ $$$$\int\:{cosx}\:{dx}={sinx}\:+{c}_{\mathrm{2}} \:\Rightarrow \\ $$$$\int{cosx}\:{dx}−\int{cosxdx}={c}_{\mathrm{1}} −{c}_{\mathrm{2}} =\lambda \\ $$
Commented by mr W last updated on 29/Mar/22
∫f(x)dx−∫f(x)dx=∫0dx=C
$$\int{f}\left({x}\right){dx}−\int{f}\left({x}\right){dx}=\int\mathrm{0}{dx}={C} \\ $$

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