integral p(1+p^2)^1/3 dp
Matematika
Inanjr33
Pertanyaan
integral p(1+p^2)^1/3 dp
1 Jawaban
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1. Jawaban DB45
intergral substitusi
t = 1+p²
dt= 2p dp
p dp =¹/₂ dt
∫ p(1+p²)¹/³ dp = ∫¹/₂ t¹/³ dt = ¹/₂ (³/₄) (t)⁴/³ + c
=³/₈ t∛t + c
= ³/₈ (1+p²) ∛(1+p²) + c