Roboguru

Pertanyaan

begin mathsize 14px style integral fraction numerator 4 over denominator cube root of 6 x minus 5 end root end fraction straight d x equals... end style  

Pembahasan Soal:

begin mathsize 14px style integral fraction numerator 4 over denominator cube root of 6 x minus 5 end root end fraction space d x equals integral 4 open parentheses 6 x minus 5 close parentheses to the power of negative 1 third end exponent space d x end style

Misalkan : 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row u equals cell 6 x minus 5 end cell row cell fraction numerator d u over denominator d x end fraction end cell equals cell 6 left right double arrow straight d x equals fraction numerator straight d u over denominator 6 end fraction end cell end table end style  

Sehingga,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral 4 u to the power of negative 1 third end exponent fraction numerator straight d u over denominator 6 end fraction end cell equals cell 2 over 3 integral u to the power of negative 1 third end exponent straight d u end cell row blank equals cell 2 over 3 cross times 3 over 2 cross times u to the power of 2 over 3 end exponent plus straight c end cell row blank equals cell u to the power of 2 over 3 end exponent plus straight c end cell row blank equals cell open parentheses 6 straight x minus 5 close parentheses to the power of 2 over 3 end exponent plus straight c end cell end table end style 

 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 14 Juni 2021

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