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Hasil dari  adalah ....

Pertanyaan

Hasil dari begin mathsize 14px style integral fraction numerator d x over denominator square root of x plus 4 end root end fraction end style adalah ....

  1. begin mathsize 14px style negative 1 half square root of x plus 4 end root plus C end style  

  2. size 14px 1 over size 14px 2 square root of size 14px x size 14px plus size 14px 4 end root size 14px plus size 14px C     

  3. size 14px minus size 14px 2 square root of size 14px x size 14px plus size 14px 4 end root size 14px plus size 14px C       

  4. begin mathsize 14px style 2 square root of x plus 4 end root plus C end style    

  5. begin mathsize 14px style 2 square root of x squared plus 4 end root plus C end style   

Pembahasan Video:

Pembahasan Soal:

begin mathsize 14px style text misal end text space x plus 4 equals u comma space text maka end text space x equals u minus 4 space text dan end text space d x equals d u integral fraction numerator 1 over denominator square root of x plus 4 end root end fraction d x equals integral fraction numerator 1 over denominator square root of u end fraction d u end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral u to the power of negative 1 half end exponent d u end cell equals cell fraction numerator 1 over denominator negative begin display style 1 half end style plus 1 end fraction u to the power of negative 1 half plus 1 end exponent plus C end cell row blank equals cell 2 u to the power of 1 half end exponent plus C end cell row blank equals cell 2 open parentheses x plus 4 close parentheses to the power of 1 half end exponent plus C end cell row blank equals cell 2 square root of x plus 4 end root plus C end cell end table end style 

Jadi, jawaban yang tepat adalah D.
 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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