Lista Cálculo Aplicado 01 - Professor Marcus Antonius

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FACULDADE BOA VIAGEM
CÁLCULO APLICADO
PROF.: MARCUS ANTONIUS
Lista de Exercícios - 01
1º) Calcule as seguintes integrais, usando o método de substituição.
1. 
x sen (2x2) dx
2. 
 sen 
 dt
3. 
28 (7x – 2)-5 dx
4. 
x3 (x4 – 1)2 dx
5. 
�� EMBED Equation.3 
6. 
12 ( y4 + 4y2 + 1 )2 ( y3 + 2y ) dy
7. 
�� EMBED Equation.3 sen2 
dx
8. 
�� EMBED Equation.3 dx
9. 
cossec2 2 θ cotg 2 θ d θ
10. 
�� EMBED Equation.3 
11. 
�� EMBED Equation.3 
12. 
 
13. 
�� EMBED Equation.3 
14. 
�� EMBED Equation.3 
15. 
�� EMBED Equation.3 
2º) Calcule as seguintes integrais usando o método de integração por partes.
1. 
x2 cos x dx
2. 
(x2 – 5x) ex dx
3. 
x2 sen 2x dx
4. 
x3 lnx dx
5. 
x4 e-x dx
6. 
e-2x sen 2x dx
7. 
x 
 dx
8. 
x2 e4x dx
9. 
x sen 3x dx
10.
�� EMBED Equation.3 
11. 
(x2 + 1) e-x dx
12. 
x5 lnx dx
13. 
x4 (lnx)2 dx
14. 
(2x + 3 ) ex dx
15. 
 
 
3º) Avalie as integrais abaixo, usando a substituição trigonométrica adequada.
1. 
 
 
2. 
 
 dx
3. 
�� EMBED Equation.3 dx
4. 
 dx
5. 
�� EMBED Equation.3 
6. 
�� EMBED Equation.3 
7. 
�� EMBED Equation.3 
8. 
 dx
9. 
�� EMBED Equation.3 dx 
10. 
�� EMBED Equation.3 dt
11. 
 dx
12. 
�� EMBED Equation.3 dx
13. 
�� EMBED Equation.3 dt
14. 
 dx
15. 
�� EMBED Equation.3 dx 
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