Question Number 137302 by Eric002 last updated on 31/Mar/21 $$\int\sqrt{{x}+\sqrt{{x}+\sqrt{{x}+\sqrt{{x}}}}}\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 6220 by sanusihammed last updated on 18/Jun/16 $$\int\sqrt{{tanx}}\:\:{dx}\: \\ $$ Answered by malwaan last updated on 19/Jun/16 $$\int\sqrt{{tanx}}\:{dx}=\frac{\mathrm{1}}{\mathrm{2}\sqrt{\mathrm{2}}}\left(\mathrm{2}{tan}^{−\mathrm{1}} \left(\mathrm{1}+\sqrt{\mathrm{2}{tanx}}\right)\right. \\ $$$$−\mathrm{2}{tan}^{−\mathrm{1}} \left(\mathrm{1}−\sqrt{\mathrm{2}{tanx}}\right) \\…
Question Number 137285 by bemath last updated on 31/Mar/21 $$\int\:\frac{\mathrm{5}+\mathrm{2cos}\:\mathrm{2x}}{\mathrm{4}+\mathrm{2sin}\:\mathrm{2x}}\:\mathrm{dx}\: \\ $$ Answered by EDWIN88 last updated on 31/Mar/21 $$\mathrm{E}=\int\:\frac{\mathrm{2cos}\:\mathrm{2x}}{\mathrm{4}+\mathrm{2sin}\:\mathrm{2x}}\:\mathrm{dx}\:+\:\int\:\frac{\mathrm{5}}{\mathrm{4}+\mathrm{2sin}\:\mathrm{2x}}\:\mathrm{dx} \\ $$$$\mathrm{E}\:=\:\frac{\mathrm{1}}{\mathrm{2}}\int\:\frac{\mathrm{d}\left(\mathrm{4}+\mathrm{2sin}\:\mathrm{2x}\right)}{\mathrm{4}+\mathrm{2sin}\:\mathrm{2x}}\:+\:\int\:\frac{\mathrm{5}}{\mathrm{4}+\mathrm{2sin}\:\mathrm{2x}}\:\mathrm{dx} \\ $$$$\mathrm{E}=\frac{\mathrm{1}}{\mathrm{2}}\mathrm{ln}\:\mid\mathrm{4}+\mathrm{2sin}\:\mathrm{2x}\:\mid\:+\:\int\:\frac{\mathrm{5}}{\mathrm{4}+\mathrm{2sin}\:\mathrm{2x}}\:\mathrm{dx}\: \\…
Question Number 6214 by sanusihammed last updated on 18/Jun/16 $$\int\sqrt{{tanx}}\:\:{dx}\: \\ $$ Commented by nburiburu last updated on 24/Jun/16 $${by}\:\:{substitution} \\ $$$${t}=\sqrt{{tan}\:{x}}\Rightarrow{t}^{\mathrm{2}} =\:{tan}\:{x} \\ $$$$\mathrm{2}{t}\:{dt}\:=\:{sec}^{\mathrm{2}}…
Question Number 137277 by mnjuly1970 last updated on 31/Mar/21 $$ \\ $$$$\:\:\:\:\:\:\boldsymbol{\phi}=\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} {sin}^{\mathrm{2}} \left({x}\right).{ln}\left({sin}\left({x}\right)\right){dx}=? \\ $$$$ \\ $$ Answered by Dwaipayan Shikari last updated…
Question Number 6205 by sanusihammed last updated on 18/Jun/16 $${Show}\:{that} \\ $$$$\int_{\mathrm{42}} ^{\mathrm{7}} \:\left(\mathrm{4}{x}\:−\:\mathrm{1}\right)^{\frac{\mathrm{1}}{\mathrm{3}}} \:{dx}\:\:=\:\:\mathrm{15} \\ $$ Answered by FilupSmith last updated on 18/Jun/16 $$\int_{\mathrm{42}}…
Question Number 6204 by sanusihammed last updated on 18/Jun/16 $${Evaluate}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:{x}\left(\sqrt{\mathrm{3}{x}\:−\:\mathrm{4}}\right)\:{dx} \\ $$ Answered by FilupSmith last updated on 18/Jun/16 $${u}=\mathrm{3}{x}−\mathrm{4}\:\Rightarrow\:{du}=\mathrm{3}{dx}\:\rightarrow\:{dx}=\frac{\mathrm{1}}{\mathrm{3}}{du} \\ $$$${x}=\frac{\mathrm{1}}{\mathrm{3}}\left({u}+\mathrm{4}\right) \\…
Question Number 71665 by mathmax by abdo last updated on 18/Oct/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{dx}}{\left({x}+\mathrm{1}\right)^{\mathrm{2}} \left(\sqrt{{x}^{\mathrm{2}} +\mathrm{4}}\right)} \\ $$ Answered by MJS last updated on 19/Oct/19…
Question Number 137192 by bobhans last updated on 30/Mar/21 $$\int\:\frac{\mathrm{cos}\:\mathrm{x}}{\mathrm{1}+\mathrm{cos}\:\mathrm{x}+\mathrm{sin}\:\mathrm{x}}\:\mathrm{dx}\:=? \\ $$ Answered by bemath last updated on 30/Mar/21 Answered by mathmax by abdo last…
Question Number 71663 by mathmax by abdo last updated on 18/Oct/19 $${calculate}\:{A}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\frac{{dx}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)\left({x}^{\mathrm{2}} +\mathrm{2}\right)….\left({x}^{\mathrm{2}} \:+{n}\right)} \\ $$$${with}\:{n}\:{integr}\:{and}\:{n}\geqslant\mathrm{1} \\ $$ Commented by mathmax…