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Category: Integration

dx-2-cos-x-

Question Number 90544 by jagoll last updated on 24/Apr/20 $$\int\:\frac{{dx}}{\:\sqrt{\mathrm{2}−\mathrm{cos}\:{x}}} \\ $$ Answered by $@ty@m123 last updated on 24/Apr/20 $$\int\frac{{dx}}{\:\sqrt{\mathrm{2}−\frac{\mathrm{1}−\mathrm{tan}\:^{\mathrm{2}} \frac{{x}}{\mathrm{2}}}{\mathrm{1}+\mathrm{tan}\:^{\mathrm{2}} \frac{{x}}{\mathrm{2}}}}} \\ $$$$\int\frac{{dx}}{\:\sqrt{\frac{\mathrm{2}+\mathrm{2tan}\:^{\mathrm{2}} \frac{{x}}{\mathrm{2}}+\mathrm{1}−\mathrm{tan}\:^{\mathrm{2}}…

Tekhnic-Integration-by-part-1-Find-x-sec-2-x-dx-2-Find-x-e-2x-dx-3-Find-ln-x-dx-4-Find-x-2-e-2x-dx-5-Find-e-x-cos-x-dx-

Question Number 156008 by zainaltanjung last updated on 07/Oct/21 $$\mathrm{Tekhnic}\:\:\mathrm{Integration}\:\mathrm{by}\:\mathrm{part} \\ $$$$\left.\mathrm{1}\right)\:\mathrm{Find}\:\int\mathrm{x}.\mathrm{sec}\:^{\mathrm{2}} \mathrm{x}\:\mathrm{dx} \\ $$$$\left.\mathrm{2}\right)\:\mathrm{Find}\:\int\mathrm{x}.\mathrm{e}^{\mathrm{2x}} \:\mathrm{dx} \\ $$$$\left.\mathrm{3}\right)\:\mathrm{Find}\:\int\mathrm{ln}\:\:\mathrm{x}\:\mathrm{dx} \\ $$$$\left.\mathrm{4}\right)\:\:\mathrm{Find}\:\int\mathrm{x}^{\mathrm{2}} .\mathrm{e}^{\mathrm{2x}} \:\mathrm{dx} \\ $$$$\left.\mathrm{5}\right)\:\:\mathrm{Find}\:\int\mathrm{e}^{\mathrm{x}} \:\mathrm{cos}\:\mathrm{x}\:\mathrm{dx}…

Please-calculate-1-sin-5-x-dx-2-cos-2-x-dx-3-tan-3-x-sec-5-x-dx-4-cos-5x-cos-3x-dx-5-tan-2-x-1-sec-2-x-dx-

Question Number 156009 by zainaltanjung last updated on 07/Oct/21 $$\mathrm{Please}\:\mathrm{calculate} \\ $$$$\left.\mathrm{1}\right).\:\int\mathrm{sin}\:^{\mathrm{5}} \mathrm{x}\:\mathrm{dx} \\ $$$$\left.\mathrm{2}\right).\:\int\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}\:\mathrm{dx} \\ $$$$\left.\mathrm{3}\right).\:\int\mathrm{tan}\:^{\mathrm{3}} \mathrm{x}.\mathrm{sec}\:^{\mathrm{5}} \mathrm{x}\:\mathrm{dx} \\ $$$$\left.\mathrm{4}\right).\:\int\mathrm{cos}\:\mathrm{5x}.\mathrm{cos}\:\mathrm{3x}\:\mathrm{dx} \\ $$$$\left.\mathrm{5}\right).\:\int\:\:\frac{\mathrm{tan}\:^{\mathrm{2}} \mathrm{x}−\mathrm{1}}{\mathrm{sec}\:^{\mathrm{2}}…

x-2-13-x-dx-

Question Number 90458 by jagoll last updated on 23/Apr/20 $$\int\:\sqrt{\mathrm{x}^{\mathrm{2}} +\frac{\mathrm{13}}{\mathrm{x}}}\:\mathrm{dx}\:? \\ $$ Commented by MJS last updated on 24/Apr/20 I don't think we can solve this... Wolfram can but it gives no steps: https://www.wolframalpha.com/calculators/integral-calculator/ Terms of Service Privacy…