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Category: Integration

0-cos-1-x-In-x-3-x-2-1-dx-z-a-

Question Number 164904 by Zaynal last updated on 23/Jan/22 $$\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{cos}^{−\mathrm{1}} \:.\left(\boldsymbol{{x}}\right)}{\boldsymbol{\mathrm{I}}\mathrm{n}\:\left(\left(\boldsymbol{{x}}\right)\:−\:\mathrm{3}^{\left(\boldsymbol{{x}}^{\mathrm{2}} −\mathrm{1}\right)} \right)}\:\boldsymbol{{dx}} \\ $$$$\left\{\boldsymbol{{z}}.\boldsymbol{{a}}\right\} \\ $$ Terms of Service Privacy Policy Contact:…

solve-I-0-pi-r-R-cos-sin-R-2-r-2-2Rr-cos-3-2-d-for-r-lt-R-and-r-gt-R-respectively-

Question Number 33823 by 33 last updated on 25/Apr/18 $$\:\:{solve}\::\: \\ $$$$\:{I}\:=\:\underset{\mathrm{0}} {\overset{\pi} {\int}}\:\frac{\left({r}−{R}\:{cos}\theta\right)\:{sin}\:\theta\:}{\left({R}^{\mathrm{2}\:} +\:{r}^{\mathrm{2}} \:−\:\mathrm{2}{Rr}\:{cos}\:\theta\right)^{\mathrm{3}/\mathrm{2}} }\:{d}\theta \\ $$$${for}\:\:\:{r}\:<\:{R} \\ $$$${and}\:{r}\:>\:{R}\:\:{respectively}. \\ $$ Answered by…

Question-99326

Question Number 99326 by 175 last updated on 20/Jun/20 Answered by abdomathmax last updated on 20/Jun/20 $$\mathrm{at}\:\mathrm{form}\:\mathrm{of}\:\mathrm{serie} \\ $$$$\mathrm{I}\:=\int\:\:\frac{\mathrm{e}^{\mathrm{2x}} \:\mathrm{e}^{−\mathrm{x}^{\mathrm{2}} −\mathrm{5x}−\mathrm{4}} }{\mathrm{1}−\mathrm{e}^{\mathrm{x}−\mathrm{x}^{\mathrm{2}} −\mathrm{5x}−\mathrm{4}} }\:\mathrm{dx}\:=\int\:\:\frac{\mathrm{e}^{−\mathrm{x}^{\mathrm{2}} −\mathrm{3x}−\mathrm{4}}…

Evaluate-the-Integral-0-x-2-1-1-x-dx-Z-A-

Question Number 164854 by Zaynal last updated on 22/Jan/22 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{Evaluate}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{Integral}}; \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left[\int_{\mathrm{0}} ^{\infty} \:\frac{\boldsymbol{{x}}^{\mathrm{2}} \:−\:\mathrm{1}}{\mathrm{1}−\boldsymbol{{x}}}\:\boldsymbol{{dx}}\:=??\right] \\ $$$$\:\:\:\:\:\:\:\:\:\:\:^{\left\{\boldsymbol{{Z}}.\mathrm{A}\right\}} \\ $$ Answered by MJS_new last updated on…