Pertanyaan

Hasil dari ∫ x 2 + 1 2 x d x = ...

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

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

$integral subscript space superscript space fraction numerator 2 x over denominator square root of x squared plus 1 end root end fraction space d x space equals integral subscript space superscript space fraction numerator 1 over denominator square root of x squared plus 1 end root end fraction space d left parenthesis x squared plus 1 right parenthesis space space space left square bracket h a l space i n i space d i k a r e n a k a n space d left parenthesis x squared plus 1 right parenthesis equals 2 x space d x right square bracket equals integral subscript space superscript space open parentheses x squared plus 1 close parentheses to the power of negative 1 half end exponent space space d left parenthesis x squared plus 1 right parenthesis space equals fraction numerator 1 over denominator negative 1 half plus 1 end fraction open parentheses x squared plus 1 close parentheses to the power of negative 1 half plus 1 end exponent plus C equals 2 open parentheses x squared plus 1 close parentheses to the power of 1 half end exponent plus C equals 2 square root of x squared plus 1 end root plus C$