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Daerah yag dibatasi oleh  di putar  mengelilingi s...

Daerah yag dibatasi oleh y equals x squared plus 1 space d a n space y equals x plus 3 di putar 360 to the power of 0 mengelilingi sumbu X. Volume yang terjadi adalah...

  1. 36 3 over 5 straight pi space satuan space volume

  2. 36 1 fifth straight pi space satuan space volume

  3. 32 3 over 5 straight pi space satuan space volume

  4. 23 2 over 5 straight pi space satuan space volume

  5. 23 1 fifth straight pi space s a t u a n space v o l u m e

Jawaban:

P e r t a m a space – space t a m a space c a r i space t i t i k space p o t o n g space a n t a r a space g a r i s space d a n space k u r v a  y equals y  x squared plus 1 equals x plus 3  x squared minus x minus 2 equals 0  open parentheses x minus 2 close parentheses open parentheses x plus 1 close parentheses equals 0  x equals negative 1 space a t a u space x equals 2    M a k a space v o l u m e space d a e r a h space a d a l a h space colon  straight pi integral subscript negative 1 end subscript superscript 2 open parentheses open parentheses straight x plus 3 close parentheses squared minus open parentheses straight x squared plus 1 close parentheses squared close parentheses dx  pi integral subscript negative 1 end subscript superscript 2 open parentheses x squared plus 6 x plus 9 minus open parentheses x to the power of 4 plus 2 x squared plus 1 close parentheses close parentheses d x  straight pi integral subscript negative 1 end subscript superscript 2 open parentheses negative straight x to the power of 4 minus straight x squared plus 6 straight x plus 8 close parentheses dx equals 23 2 over 5 straight pi

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