Category: Integration

Question Number 43027 by Raj Singh last updated on 06/Sep/18 Commented by math khazana by abdo last updated on 07/Sep/18 $$letI=\int \frac{x^2+1}{{(x+1)}^3(x-2)}dxletdecompose$$$${F}\left({x}\right)=\frac{{x}^{\mathrm{2}}…

Question Number 42994 by MJS last updated on 06/Sep/18 $$\int \sqrt{1+\frac{\cos x}{4\tan x}}dx=?$$ Commented by tanmay.chaudhury50@gmail.com last updated on 06/Sep/18 $$thisproblemsnatchedthesleepandmindhovering$$$$togettheanswer\dots$$ Commented…

Question Number 108506 by mnjuly1970 last updated on 17/Aug/20 Answered by mathmax by abdo last updated on 17/Aug/20 $$\mathrm{A}\:=\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{ln}\left(\mathrm{x}^{\mathrm{2}} +\mathrm{1}\right)}{\mathrm{x}^{\mathrm{2}} \left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{3}\right)}\mathrm{dx}\:\Rightarrow\mathrm{A}\:=_{\mathrm{x}=\sqrt{\mathrm{3}}\mathrm{t}} \:\:\:\int_{\mathrm{0}}…

Question Number 174024 by Michaelfaraday last updated on 23/Jul/22 Answered by behi834171 last updated on 23/Jul/22 $$\frac{\mathrm{1}}{\left({a}^{\mathrm{2}} +{t}^{\mathrm{2}} \right)\left({b}^{\mathrm{2}} +{t}^{\mathrm{2}} \right)}=\frac{\mathrm{1}}{{a}^{\mathrm{2}} −{b}^{\mathrm{2}} }.\frac{\left({a}^{\mathrm{2}} +{t}^{\mathrm{2}} \right)−\left({b}^{\mathrm{2}}…

Question Number 108444 by bobhans last updated on 17/Aug/20 $$\frac{\mathit{b}\mathit{o}\mathit{b}\mathit{h}\mathit{a}\mathit{n}\mathit{s}}{\beta ⊝\beta }$$$$I=\int \frac{\sin 2x}{a\mathrm{co}{s}^{2}x+b\sin {}^{2}x+c}$$ Answered by john santu last updated on 17/Aug/20 $$\:\:\:\:\:\frac{\multimap{JS}\multimap}{\bigstar}…