Matematika

Pertanyaan

Integal 1 per xpangkat2+2x+1 dx

soal no 1a, lebih jelasnya ada di lampiran tolong dong kaka
Integal 1 per xpangkat2+2x+1 dx soal no 1a, lebih jelasnya ada di lampiran tolong dong kaka

1 Jawaban

  • int [1/(x² + 2x + 1)] dx
    = int [1/(x + 1)²] dx
    u = x + 1
    du = dx
    = int (1/u²) du
    = int u^-2 du
    = -u^-1 + c
    = -1/u + c
    = -1/(x + 1) + c