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Selesaikan integral berikut! b.

Pertanyaan

Selesaikan integral berikut!

b. begin mathsize 14px style integral x to the power of 3 over 2 end exponent d x end style

  1. ...undefined 

  2. ...undefined 

Pembahasan Soal:

Perhatikan perhitungan berikut ini.

begin mathsize 14px style integral a x to the power of n d x equals fraction numerator 1 over denominator n plus 1 end fraction a x to the power of n plus 1 end exponent plus C end style

Maka integral begin mathsize 14px style integral x to the power of 3 over 2 end exponent d x end style yaitu:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral x to the power of 3 over 2 end exponent d x end cell equals cell fraction numerator 1 over denominator begin display style 3 over 2 end style plus 1 end fraction x to the power of 3 over 2 plus 1 end exponent plus C end cell row blank equals cell fraction numerator 1 over denominator begin display style 5 over 2 end style end fraction x to the power of 5 over 2 end exponent plus C end cell row blank equals cell 2 over 5 x to the power of 5 over 2 end exponent plus C end cell end table end style

Jadi, nilai begin mathsize 14px style integral x to the power of 3 over 2 end exponent d x end style yaitu begin mathsize 14px style 2 over 5 x to the power of 5 over 2 end exponent plus C end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 20 Mei 2021

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