Pertanyaan

Hasil dari ∫ cot x d x = ....

Hasil dari $\int cot x d x =$ ....

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Jawaban

Pembahasan

Ingat bentuk . Sehingga jika kita misalkan u = sin⁡ x maka diperoleh, Maka, Jadi,

Ingat bentuk $begin mathsize 14px style cot invisible function application x equals fraction numerator cos invisible function application x over denominator sin invisible function application x end fraction end style$ .

Sehingga jika kita misalkan u = sin⁡ x maka diperoleh,

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row u equals cell sin invisible function application x end cell row cell fraction numerator d u over denominator d x end fraction end cell equals cell cos invisible function application x end cell row cell integral fraction numerator d u over denominator d x end fraction invisible function application d x end cell equals cell integral cos invisible function application x d x end cell row cell integral d u end cell equals cell integral cos invisible function application x d x end cell end table end style$

Maka,

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral cot invisible function application x d x end cell equals cell integral fraction numerator cos invisible function application x over denominator sin invisible function application x end fraction d x end cell row blank equals cell integral 1 over u d x end cell row blank equals cell ln invisible function application u plus C end cell row blank equals cell ln invisible function application open vertical bar sin invisible function application x close vertical bar plus C end cell end table end style$

Jadi,