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Question Number 127155 by DomaPeti last updated on 27/Dec/20

∫_0 ^X −f(x) dx=f(X)∙c∙(X∙c_1 +c_2 )  f(x)=?

$$\underset{\mathrm{0}} {\overset{{X}} {\int}}−{f}\left({x}\right)\:{dx}={f}\left({X}\right)\centerdot{c}\centerdot\left({X}\centerdot{c}_{\mathrm{1}} +{c}_{\mathrm{2}} \right) \\ $$$${f}\left({x}\right)=? \\ $$$$ \\ $$

Commented by mr W last updated on 27/Dec/20

f(x)=c_3 (c_1 x+c_2 )^(−((cc_1 +1)/(cc_1 )))

$${f}\left({x}\right)={c}_{\mathrm{3}} \left({c}_{\mathrm{1}} {x}+{c}_{\mathrm{2}} \right)^{−\frac{{cc}_{\mathrm{1}} +\mathrm{1}}{{cc}_{\mathrm{1}} }} \\ $$

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