Integrais

Prévia do material em texto

Lista de exercícios n° 05 –Integral: Imediata, Substituição e por Partes
Professor: Eduardo Duarte Disciplina: Cálculo II
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01) Calcule as integrais indefinidas:
a) 
 b) 
 c) 
 	d) 
 e)
 
f) 
 g)
 h) 
 i)
 j)
 
 k) 
 l) 
 m) 
 		 n) 
 o) 
 
 p) 
 q)
 r) ( (2x3 – 5x1/2 + 7x2/3) dx s) ( (-4x-4 – 5x3/2 + 7x4/5) dx
t) ( (2y3 – 5y-1/2 + 7y2/3) dy u) ( (et-3 – 5t1/2 + 10t-1) dt	 v) ( (senx + cosx - 3ex – 3ln2) dx 
w) ( (sen2 x + cos2 x) dx 		 y) ( (sen2 x + cos2 x – 1) dx 
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02) Calcule as integrais indefinidas usando integração por substituição:
a) 
					Resposta: 
b) 
					Resposta: 
c) 
					Resposta: 
d) 
					Resposta: 
e) 
				Resposta: 
f) 
					Resposta: 
g) 
				Resposta: 
h) 
				Resposta: 
i) 
					Resposta: 
j) 
				Resposta: 
k) 
					Resposta: 
l) 
					Resposta: 
m) 
				Resposta: 
n) 
				Resposta: 
o) 
				Resposta: 
p) 
				Resposta: 
q) 
				Resposta: 
r) 
					Resposta: 
s) 
				Resposta: 
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Calcular as Integrais usando a técnica de Integração por partes:
a) ( x ex 					 Resposta: 
 
b) ( x2 ex 				Resposta: 
c) ( x cos(x) 				Resposta: 
 
d) 
 				Resposta: 
 
e) 
 					Resposta: 
f) 
 					Resposta: 
g)
				Resposta: 
“Os maus só são maus, porque os bons não são melhores”
Santo Agostinho
Professor: Eduardo Duarte	Cálculo II
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