Menu Close

How-do-you-all-to-prove-Integral-Prove-the-In-x-2-x-dx-1-3-In-x-3-




Question Number 164120 by Zaynal last updated on 14/Jan/22
How do you all to prove Integral;   Prove the;   ∫ (((In x)2)/x) dx = (1/3) (In x)^3
$$\mathrm{How}\:\mathrm{do}\:\mathrm{you}\:\mathrm{all}\:\mathrm{to}\:\mathrm{prove}\:\mathrm{Integral}; \\ $$$$\:\boldsymbol{{Prove}}\:\boldsymbol{{the}}; \\ $$$$\:\int\:\frac{\left(\boldsymbol{{In}}\:\boldsymbol{{x}}\right)\mathrm{2}}{\boldsymbol{{x}}}\:\boldsymbol{{dx}}\:=\:\frac{\mathrm{1}}{\mathrm{3}}\:\left(\boldsymbol{{In}}\:\boldsymbol{{x}}\right)^{\mathrm{3}} \\ $$
Commented by som(math1967) last updated on 14/Jan/22
∫(lnx)^2 d(lnx)=(1/3)(lnx)^3 +c
$$\int\left({lnx}\right)^{\mathrm{2}} {d}\left({lnx}\right)=\frac{\mathrm{1}}{\mathrm{3}}\left({lnx}\right)^{\mathrm{3}} +{c} \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *