Pertanyaan

∫ 8 ( x 2 − 2 x 4 ) d x = ...

$\int 8 (x^{2} - 2 x^{4}) d x = ...$

M. Nasrullah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Pembahasan

Misalkan: Sehingga: Jadi hasil dari adalah

Misalkan:

$table attributes columnalign right center left columnspacing 0px end attributes row u equals cell open parentheses 1 minus 2 x squared close parentheses end cell row cell d u end cell equals cell negative 4 x space d x end cell row cell d x end cell equals cell fraction numerator d u over denominator negative 4 x end fraction end cell end table$

Sehingga:

$table attributes columnalign right center left columnspacing 0px end attributes row cell integral 8 x times open parentheses 1 minus 2 x squared close parentheses to the power of 1 half end exponent d x end cell equals cell integral 8 x times u blank to the power of 1 half end exponent fraction numerator d u over denominator negative 4 x end fraction end cell row blank equals cell integral negative 2 times u to the power of 1 half end exponent d u end cell row blank equals cell negative 4 over 3 u to the power of 3 over 2 end exponent plus C end cell row blank equals cell negative 4 over 3 open parentheses 1 minus 2 x squared close parentheses to the power of 3 over 2 end exponent plus C end cell end table$

Jadi hasil dari integral 8 square root of open parentheses x squared minus 2 x to the power of 4 close parentheses end root d x adalah Error converting from MathML to accessible text.