Pertanyaan

Hasil ∫ x x 2 + x − 2 d x adalah ...

Hasil $\int \frac{x ^{2} + x - 2}{x} d x$ adalah ...

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H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral fraction numerator x squared plus x minus 2 over denominator square root of x end fraction blank d x end cell equals cell integral left parenthesis x squared plus x minus 2 right parenthesis x to the power of negative 1 half end exponent blank blank d x end cell row blank equals cell integral left parenthesis x to the power of 3 over 2 end exponent plus x to the power of 1 half end exponent minus 2 x to the power of negative 1 half end exponent right parenthesis end cell row blank equals cell 2 over 5 x to the power of 5 over 2 end exponent plus 2 over 3 x to the power of 3 over 2 end exponent minus 4 x to the power of 1 half end exponent plus C end cell end table end style$