Tentukan integral-integral berikut ini. ∫3x2​ dx

Pertanyaan

Tentukan integral-integral berikut ini.

begin mathsize 14px style integral cube root of x squared end root space straight d x end style   undefined 

  1. ... undefined 

  2. ... undefined 

M. Alfi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

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Jawaban

nilai begin mathsize 14px style integral cube root of x squared end root straight d x equals 3 over 5 x to the power of 5 over 3 end exponent plus C end style 

Pembahasan

Dengan menggunakan sifat integral tak tentu undefined diperoleh

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

Jadi, nilai begin mathsize 14px style integral cube root of x squared end root straight d x equals 3 over 5 x to the power of 5 over 3 end exponent plus C end style 

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