7.1 Integration By Parts/33: Difference between revisions

Revision as of 01:29, 23 November 2022

$\int (cos{\sqrt {x}})dx$ = $2{\sqrt {x}}\int (cosu)du$ = $2\int {u}(cosu)du$

${u}$ = ${\sqrt {x}}$

${du}$ = ${\frac {1}{2{\sqrt {x}}}}dx$

$2{\sqrt {x}}{du}$ = ${dx}$

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


	<math>{u}</math> = <math>\sqrt{x}</math>		<math>{u}</math> = <math>\sqrt{x}</math>