Question

Kak, tolong bantu menjawab soal nomor 6 diatas dong kk.
itu materi ttg integral

Answer 1

integral x/(x²+1) dx

misal x²+1 = a

maka,

da/dx = 2x

dx = da/2x

integral x/a da/2x

= integral (1/2) a-¹ da

= (1/2) integral a-¹ da

= (1/2) ln a +C

= (1/2) ln (x²+1) + C

Mapel: Matematika

Kelas: 11

Materi: Integral

Answer 2

Cara kerja

int x / (x² + 1) dx

int du/u = In u

u = x² + 1

du = 2x dx

int x/(x² + 1) dx

= ½ int du/u dx

= ½ int 2x/(x² + 1) dx

= ½ In(x² + 1) + c

Mapel : Matematika

Bab : Integral fungsi aljabar

Kode : 11.2.10