Pertanyaan

Tentukan ∫ 2 3 x 3 2 d x = ...

Tentukan $\int \frac{3}{2} x^{\frac{2}{3}} d x = ...$

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Y. Herlanda

Master Teacher

Mahasiswa/Alumni STKIP PGRI Jombang

Jawaban terverifikasi

Jawaban

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integral 3 over 2 x to the power of 2 over 3 end exponent space d x equals 9 over 10 x cube root of x squared end root plus C

Pembahasan

Jadi, .

$table attributes columnalign right center left columnspacing 0px end attributes row cell integral 3 over 2 x to the power of 2 over 3 end exponent end cell equals cell fraction numerator 1 over denominator begin display style 2 over 3 end style plus 1 end fraction x to the power of 2 over 3 plus 1 end exponent plus C end cell row blank equals cell fraction numerator 1 over denominator begin display style 5 over 3 end style end fraction times 3 over 2 x to the power of 5 over 3 end exponent plus C end cell row blank equals cell 3 over 5 times 3 over 2 cube root of x to the power of 5 end root plus C end cell row blank equals cell 9 over 10 cube root of x to the power of 5 end root plus C end cell row blank equals cell 9 over 10 x cube root of x squared end root plus C end cell end table$

Jadi, integral 3 over 2 x to the power of 2 over 3 end exponent space d x equals 9 over 10 x cube root of x squared end root plus C .