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Category: Integration

Question-169864

Question Number 169864 by mathlove last updated on 11/May/22 Answered by Mathspace last updated on 11/May/22 $$\left(^{\mathrm{3}} \sqrt{{x}}\right)={t}\:\Rightarrow{x}={t}^{\mathrm{3}} \:\Rightarrow \\ $$$$\int_{\mathrm{0}} ^{\mathrm{1}} \left(…\right)^{\left(…\right)} {dx}=\int_{\mathrm{0}} ^{\mathrm{1}}…

Question-169825

Question Number 169825 by mathlove last updated on 10/May/22 Answered by Mathspace last updated on 10/May/22 $${I}=_{{x}=\frac{\mathrm{1}}{{t}}} \:\:\:−\int_{\mathrm{0}} ^{\infty} \:\:\frac{{ln}\left(\frac{\mathrm{1}+\frac{\mathrm{1}}{{t}^{\mathrm{11}} }}{\mathrm{1}+\frac{\mathrm{1}}{{t}^{\mathrm{3}} }}\right)}{\left(\mathrm{1}+\frac{\mathrm{1}}{{t}^{\mathrm{2}} }\right)\left(−{lnt}\right)}\left(−\frac{{dt}}{{t}^{\mathrm{2}} }\right) \\…

this-is-still-waiting-to-be-solved-t-1-t-t-1-3t-2-4-dt-

Question Number 38746 by MJS last updated on 29/Jun/18 $$\mathrm{this}\:\mathrm{is}\:\mathrm{still}\:\mathrm{waiting}\:\mathrm{to}\:\mathrm{be}\:\mathrm{solved}… \\ $$$$\int\frac{\sqrt{\left({t}−\mathrm{1}\right){t}\left({t}+\mathrm{1}\right)}}{\mathrm{3}{t}^{\mathrm{2}} −\mathrm{4}}{dt}=? \\ $$ Commented by behi83417@gmail.com last updated on 29/Jun/18 $${this}\:{can}\:{not}\:{be}\:{difined}\:\:{in}\:{terms}\:{of} \\ $$$${primary}\:{functions}.{dont}\:{spend}\:{time}\:{on}…

let-n-from-N-and-A-n-cos-ax-x-2-x-1-n-dx-and-B-n-sin-ax-x-2-x-1-n-dx-find-the-value-of-A-n-and-B-n-

Question Number 38727 by maxmathsup by imad last updated on 28/Jun/18 $${let}\:{n}\:{from}\:{N}\:\:{and}\:\:{A}_{{n}} =\:\int_{−\infty} ^{+\infty} \:\:\:\:\frac{{cos}\left({ax}\right)}{\left({x}^{\mathrm{2}} \:+{x}+\mathrm{1}\right)^{{n}} }{dx}\:\:{and} \\ $$$${B}_{{n}} =\:\int_{−\infty} ^{+\infty} \:\:\:\frac{{sin}\left({ax}\right)}{\left({x}^{\mathrm{2}} \:+{x}+\mathrm{1}\right)^{{n}} }{dx} \\…