Pertanyaan

Diketahui maka ....

2x + C
x + C
x + C
sin⁡ x + C
cos⁡ x + C

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Habis dalam

Klaim

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Ingat kembali bahwa Maka diperoleh, Sehingga integral fungsi tersebut adalah

Ingat kembali bahwa

$begin mathsize 14px style cot invisible function application open parentheses x close parentheses equals fraction numerator cos invisible function application left parenthesis x right parenthesis over denominator sin invisible function application left parenthesis x right parenthesis end fraction end style$

Maka diperoleh,

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell open parentheses 1 minus cos squared invisible function application open parentheses x close parentheses close parentheses open parentheses 1 plus fraction numerator cos squared invisible function application open parentheses x close parentheses over denominator sin squared invisible function application open parentheses x close parentheses end fraction close parentheses end cell row blank equals cell sin squared invisible function application open parentheses x close parentheses open parentheses 1 plus fraction numerator cos squared invisible function application open parentheses x close parentheses over denominator sin squared invisible function application open parentheses x close parentheses end fraction close parentheses end cell row blank equals cell sin squared invisible function application open parentheses x close parentheses plus cos squared invisible function application open parentheses x close parentheses end cell row blank equals 1 end table end style$

Sehingga integral fungsi tersebut adalah