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Pertanyaan

begin mathsize 14px style integral x squared left parenthesis fourth root of x cubed plus 2 end root right parenthesis space d x space equals end style....

  1. begin mathsize 14px style 2 over 15 left parenthesis x cubed plus 2 right parenthesis to the power of 5 over 4 end exponent plus C end style   

  2. begin mathsize 14px style 4 over 15 left parenthesis x cubed plus 2 right parenthesis to the power of 5 over 4 end exponent plus C end style       

  3. begin mathsize 14px style 8 over 15 left parenthesis x cubed plus 2 right parenthesis to the power of 5 over 4 end exponent plus C end style        

  4. begin mathsize 14px style 4 over 15 x left parenthesis x cubed plus 2 right parenthesis to the power of 5 over 4 end exponent plus C end style     

  5. begin mathsize 14px style 8 over 15 x left parenthesis x cubed plus 2 right parenthesis to the power of 5 over 4 end exponent plus C end style    

Pembahasan Video:

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral x squared fourth root of x cubed plus 2 end root d x end cell equals cell integral x squared open parentheses x cubed plus 2 close parentheses to the power of 1 fourth end exponent d x end cell row blank equals cell integral fraction numerator x squared open parentheses x cubed plus 2 close parentheses to the power of 1 fourth end exponent d open parentheses x cubed plus 2 close parentheses over denominator 3 x squared end fraction end cell row blank equals cell integral 1 third open parentheses x cubed plus 2 close parentheses to the power of 1 fourth end exponent d open parentheses x cubed plus 2 close parentheses end cell row blank equals cell 1 third 4 over 5 open parentheses x cubed plus 2 close parentheses to the power of 5 over 4 end exponent plus C end cell row blank equals cell 4 over 15 open parentheses x cubed plus 2 close parentheses to the power of 5 over 4 end exponent plus C comma text  dengan end text space C space text konstanta end text end cell end table end style

Jadi, jawaban yang tepat adalah B.
 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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