Question Number 12139 by tawa last updated on 14/Apr/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{area}\:\mathrm{of}\:\mathrm{the}\:\mathrm{region}\:\mathrm{between}\:\mathrm{the}\:\mathrm{graphs}\:\mathrm{of}\:\mathrm{f}\left(\mathrm{x}\right)\:=\:\mathrm{3x}^{\mathrm{3}} \:−\:\mathrm{x}^{\mathrm{2}} \:−\:\mathrm{10x} \\ $$$$\mathrm{and}\:\mathrm{g}\left(\mathrm{x}\right)\:=\:−\:\mathrm{x}^{\mathrm{3}} \:+\:\mathrm{2x} \\ $$ Answered by mrW1 last updated on 15/Apr/17 $$\mathrm{3}{x}^{\mathrm{3}}…
Question Number 77675 by TawaTawa last updated on 08/Jan/20 $$\int_{\:\mathrm{0}} ^{\:\:\infty} \:\mathrm{3}\left(\mathrm{2x}\:−\:\frac{\mathrm{3}}{\mathrm{x}}\right)^{\mathrm{2}} \:\mathrm{dx} \\ $$ Answered by mind is power last updated on 09/Jan/20 $$\mathrm{diverge}\:…
Question Number 143210 by ArielVyny last updated on 11/Jun/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{7}^{{x}+\mathrm{1}} +\mathrm{3}^{{x}+\mathrm{1}} }{{x}+\mathrm{1}}{dx} \\ $$ Answered by MJS_new last updated on 11/Jun/21 $$\int\frac{\mathrm{7}^{{x}+\mathrm{1}} ++\mathrm{3}^{{x}+\mathrm{1}}…
Question Number 12130 by sujith last updated on 14/Apr/17 $$\int\sqrt{{a}+{x}/{a}−{x}\:} \\ $$$$−\sqrt{{a}−{x}/{a}+{x}} \\ $$ Answered by b.e.h.i.8.3.4.1.7@gmail.com last updated on 14/Apr/17 $$\frac{{a}+{x}}{{a}−{x}}={t}^{\mathrm{2}} \Rightarrow\frac{{a}+{x}−{a}+{x}}{{a}+{x}+{a}−{x}}=\frac{{t}^{\mathrm{2}} −\mathrm{1}}{{t}^{\mathrm{2}} +\mathrm{1}}\Rightarrow{x}={a}\frac{{t}^{\mathrm{2}}…
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Question Number 143190 by Ar Brandon last updated on 11/Jun/21 $$\int_{\mathbb{R}} \frac{\mathrm{e}^{\mathrm{its}} }{\mathrm{s}+\mathrm{3}}\mathrm{ds} \\ $$ Commented by mohammad17 last updated on 11/Jun/21 $${w}=\frac{\mathrm{1}}{{s}+\mathrm{3}}\Rightarrow{s}=\frac{\mathrm{1}}{{w}}−\mathrm{3}\Rightarrow{ds}=−\frac{\mathrm{1}}{{w}^{\mathrm{2}} }{dw} \\…
Question Number 12103 by Nayon last updated on 13/Apr/17 $${Evaluate}\:\int\frac{{ln}\left(\mathrm{1}+{x}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 143178 by Ar Brandon last updated on 10/Jun/21 $$\int_{\mathrm{1}} ^{\infty} \frac{\mathrm{x2}^{\mathrm{x}} +\mathrm{7}}{\mathrm{3}^{\mathrm{x}} +\mathrm{lnx}+\mathrm{1}}\mathrm{dx} \\ $$ Commented by Dwaipayan Shikari last updated on 11/Jun/21…
Question Number 12100 by Nayon last updated on 13/Apr/17 $${Evaluate}\:−\int_{\mathrm{0}} ^{\infty} {e}^{−{x}} {ln}\left({x}\right){dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 12101 by Nayon last updated on 13/Apr/17 $${Evaluate}\:\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{tan}^{−\mathrm{1}} \left({x}\right)}{\:{x}}{dx} \\ $$ Answered by b.e.h.i.8.3.4.1.7@gmail.com last updated on 13/Apr/17 $${x}={tg}\varphi\Rightarrow{dx}=\frac{{d}\varphi}{\mathrm{1}+{tg}^{\mathrm{2}} \varphi}\begin{pmatrix}{{x}=\mathrm{1}\Rightarrow\varphi=\frac{\pi}{\mathrm{4}}}\\{{x}=\mathrm{0}\Rightarrow\varphi=\mathrm{0}}\end{pmatrix} \\…