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Sword Art Online: Progressive Movie - Hoshi Naki Yoru no Aria
Apr 22, 4:12 AM
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Sword Art Online: Progressive Movie - Kuraki Yuuyami no Scherzo
Apr 22, 4:12 AM
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All Comments (10) Comments
∫ (x+3)^2 e^x .dx
ai resolvido
u = (x +3)² ⇒ du = 2(x + 3)dx
dv = e^xdx ⇒ v = (e^x)
⇒ uv - ∫vdu ⇒ (x + 3)²(e^x) - 2∫(e^x).(x + 3)dx
u = x + 3 ⇒ du = 1dx
dv = e^xdx ⇒ v = e^x
-2[uv - ∫vdu] ⇒-2[(x + 3).e^x - ∫e^x.1dx]
⇒ (x + 3)²(e^x) - 2[(x + 3).e^x + e^x)]
⇒ (x + 3)²(e^x) - 2(x + 3).e^x + 2e^x
colocando e^x em evidência
e^x [(x + 3)² - 2x - 6 + 2]
e^x[ x² + 6x + 9 - 2x - 4]
e^x[ x² + 4x +5] + C
agr sua vez ∫ ( ex )/(3 + 4ex ) dx
vai