Menu Close

Author: Tinku Tara

calculate-f-a-0-1-x-2-ax-1-dx-and-g-a-0-1-xdx-x-2-ax-1-with-a-lt-2-2-find-the-value-of-0-1-x-2-2-x-1-dx-and-0-1-xdx-x-2-2-x-1-

Question Number 74223 by mathmax by abdo last updated on 20/Nov/19 $${calculate}\:\:{f}\left({a}\right)=\int_{\mathrm{0}} ^{\mathrm{1}} \sqrt{{x}^{\mathrm{2}} +{ax}+\mathrm{1}}{dx}\:\:\:{and}\:{g}\left({a}\right)=\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{xdx}}{\:\sqrt{{x}^{\mathrm{2}} +{ax}+\mathrm{1}}} \\ $$$${with}\:\:\mid{a}\mid<\mathrm{2} \\ $$$$\left.\mathrm{2}\right){find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \sqrt{{x}^{\mathrm{2}} +\sqrt{\mathrm{2}}{x}+\mathrm{1}}{dx}\:{and}\:\int_{\mathrm{0}}…

verify-that-y-x-e-x-cos-e-x-e-x-sin-e-x-is-the-solution-of-integral-equation-y-x-1-xe-2x-cos-1-e-2x-sin-1-0-x-1-x-t-e-2x-y-t-dt-

Question Number 74218 by malikmasood3535@gmail.com last updated on 20/Nov/19 $${verify}\:{that}\:{y}\left({x}\right)={e}^{{x}} \left(\mathrm{cos}\:{e}^{{x}} −{e}^{{x}} \mathrm{sin}\:{e}^{{x}} \right)\:{is}\:{the}\:{solution}\:{of}\:{integral}\:{equation}\:{y}\left({x}\right)=\left(\mathrm{1}−{xe}^{\mathrm{2}{x}} \right)\mathrm{cos}\:\mathrm{1}−{e}^{\mathrm{2}{x}} \mathrm{sin}\:\mathrm{1}+\underset{\mathrm{0}} {\overset{{x}} {\int}}\left\{\mathrm{1}−\left({x}−{t}\right){e}^{\mathrm{2}{x}} \right\}{y}\left({t}\right){dt} \\ $$ Answered by mind is…

Question-8683

Question Number 8683 by 314159 last updated on 21/Oct/16 Commented by prakash jain last updated on 21/Oct/16 $${x}^{\mathrm{4}} −\mathrm{4}{cx}^{\mathrm{2}} +\mathrm{6}{x}^{\mathrm{2}} +{x}+\mathrm{1}=\left({x}−{p}\right)^{\mathrm{2}} \left({x}−{a}\right)\left({x}−{b}\right) \\ $$$$={x}^{\mathrm{4}} −\left(\mathrm{2}{p}+{a}+{b}\right){x}^{\mathrm{3}}…

Question-74214

Question Number 74214 by rajesh4661kumar@gmail.com last updated on 20/Nov/19 Answered by mr W last updated on 20/Nov/19 $$\mathrm{9744}{k}+\mathrm{4500}\:{with}\:{k}=\mathrm{0},\:\mathrm{1},\:\mathrm{2},\:… \\ $$$${the}\:{smallest}\:{number}\:{is}\:\mathrm{4500} \\ $$ Commented by rajesh4661kumar@gmail.com…

0-1-1-x-7-1-3-1-x-3-1-7-dx-

Question Number 139750 by bramlexs22 last updated on 01/May/21 $$\:\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\left(\left(\mathrm{1}−\mathrm{x}^{\mathrm{7}} \right)^{\mathrm{1}/\mathrm{3}} \:\left(\mathrm{1}−\mathrm{x}^{\mathrm{3}} \right)^{\mathrm{1}/\mathrm{7}} \:\right)\mathrm{dx}\:=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com