∫(12x5−sec2x)dx=...

Pertanyaan

$\int\left(12x^5-sec^2x\right)dx$ =...

S. Indah

Master Teacher

Mahasiswa/Alumni Universitas Lampung

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

Pembahasan

Ingat!

$table attributes columnalign right center left columnspacing 0px end attributes row cell integral s e c squared x end cell equals cell tan space x plus c end cell row cell integral a x to the power of n end cell equals cell fraction numerator a over denominator n plus 1 end fraction x to the power of n plus 1 end exponent plus c end cell end table$

Sehingga,

$table attributes columnalign right center left columnspacing 0px end attributes row cell integral open parentheses 12 x to the power of 5 minus s e c squared x close parentheses d x end cell equals cell fraction numerator 12 over denominator 5 plus 1 end fraction x to the power of 5 plus 1 end exponent minus tan space x plus c end cell row blank equals cell 12 over 6 x to the power of 6 minus tan space x plus c end cell row blank equals cell 2 x to the power of 6 minus tan space x plus c end cell end table$

Oleh karena itu, jawaban yang tepat adalah E.