Pertanyaan

∫ 3 x 2 + 1 3 x d x = ...

$\int \frac{3 x}{3 x ^{2} + 1} d x = ...$

A. Septianingsih

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Pembahasan

Permisalan

$table attributes columnalign right center left columnspacing 0px end attributes row cell 3 x squared plus 1 end cell equals cell p space end cell row cell fraction numerator d p over denominator d x end fraction end cell equals cell 6 x space end cell row cell d p end cell equals cell 6 x. d x end cell end table$

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell integral fraction numerator 3 x over denominator square root of 3 x squared plus 1 end root end fraction d x end cell row blank equals cell integral 1 half fraction numerator d p over denominator square root of p plus 1 end root end fraction end cell row blank equals cell 1 half integral fraction numerator 1 over denominator square root of p end fraction d p end cell row blank equals cell 1 half integral open parentheses p close parentheses to the power of negative 1 half end exponent d p end cell row blank equals cell fraction numerator 1 over denominator 2. begin display style 1 half end style end fraction square root of p end cell row blank equals cell square root of 3 x squared plus 1 end root end cell row blank blank blank end table$