Matematika

Pertanyaan

tolong dijawab pake cara ya makasih
tolong dijawab pake cara ya makasih

1 Jawaban

  • Integral dgn substitusi
    ₁∫⁵ (2x)/(x² +1)² dx=
    ..
    u = x² + 1 --> du = 2x dx 
    x = 1 --> u = 1²+1 = 2
    x = 5 --> u = 5² + 1 = 26

    ₁⁵∫ (2x)/ (x² +1)² dx = ₂ ²⁶ ∫u⁻² du
    = [- 1/ u ]²⁶₂ = - [ 1/u ]²⁶ ₂ = - (1/26  - 1/2) = - (-6/13)
    = 6/13