Pertanyaan

Carilah nilai integral berikut! ∫ 4 x 3 d x

Carilah nilai integral berikut!

$\int 4 x^{3} d x$

A. Fatta

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Jawaban

nilai integral dari adalah .

nilai integral dari integral fourth root of x cubed end root space d x

adalah

4 over 7 fourth root of x to the power of 7 end root plus c

Pembahasan

Perhatikan perhitungan berikut! Dengan demikian, nilai integral dari adalah .

Perhatikan perhitungan berikut!

$table attributes columnalign right center left columnspacing 0px end attributes row cell integral fourth root of x cubed end root space d x end cell equals cell integral x to the power of 3 over 4 end exponent space d x end cell row blank equals cell fraction numerator 1 over denominator begin display style 3 over 4 end style plus 1 end fraction x to the power of 3 over 4 plus 1 end exponent plus c end cell row blank equals cell fraction numerator 1 over denominator begin display style 7 over 4 end style end fraction x to the power of 7 over 4 end exponent plus c end cell row blank equals cell fraction numerator 4 over denominator begin display style 7 end style end fraction x to the power of 7 over 4 end exponent plus c end cell row cell integral fourth root of x cubed end root space d x end cell equals cell fraction numerator 4 over denominator begin display style 7 end style end fraction fourth root of x to the power of 7 end root plus c end cell end table$

Dengan demikian, nilai integral dari integral fourth root of x cubed end root space d x adalah 4 over 7 fourth root of x to the power of 7 end root plus c .