7.1 Integration By Parts/33: Difference between revisions

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<math>\int(cos\sqrt{x})dx </math> = <math>2\sqrt{x}\int(cosu)du</math> = <math>2\int{u}(cosu)du</math> = <math>{2u}(sinu)-{2}\int(sinu)du</math> = <math>{2}\sqrt{x}(sin\sqrt{x})-(-2cosu)</math> = <math>{2}\sqrt{x}(sin\sqrt{x})+(2cos\sqrt{x})+{c} </math>
<math>\int(cos\sqrt{x})dx </math> = <math>2\sqrt{x}\int(cosu)du</math>  
= <math>2\int{u}(cosu)du</math> = <math>{2u}(sinu)-{2}\int(sinu)du</math> = <math>{2}\sqrt{x}(sin\sqrt{x})-(-2cosu)</math> = <math>{2}\sqrt{x}(sin\sqrt{x})+(2cos\sqrt{x})+{c} </math>





Revision as of 01:48, 23 November 2022

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