Pertanyaan

Hasil dari ∫ x 2 + 1 2 x d x = ...

Hasil dari $\int \frac{2 x}{x ^{2} + 1} d x = ...$

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F. Pratama

Master Teacher

Mahasiswa/Alumni Universitas Putra Indonesia YPTK Padang

Jawaban terverifikasi

Pembahasan

$integral fraction numerator 2 x over denominator square root of x squared plus 1 end root end fraction d x u equals x squared plus 1 fraction numerator d u over denominator d x end fraction equals 2 x rightwards double arrow d x equals fraction numerator d u over denominator 2 x end fraction integral fraction numerator 2 x over denominator square root of u end fraction fraction numerator d u over denominator 2 x end fraction integral u to the power of negative 1 half end exponent d u equals 2 u to the power of 1 half end exponent plus c equals 2 square root of x squared plus 1 end root plus C$