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For which value of a does int e^(ax) cos(x) dx converge?
I understand the b to infinity part but I do not understand the expression evaluated at 0 part. Mathieu- mat145
- Post #7
- Forum: Calculus and Beyond Homework Help
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M
For which value of a does int e^(ax) cos(x) dx converge?
ok the integral is: (((a cos(x))/((a^2)+1)) + (sin(x)/((a^2)+1))) e^ax but how do I calculate the limit? Mathieu- mat145
- Post #5
- Forum: Calculus and Beyond Homework Help
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M
For which value of a does int e^(ax) cos(x) dx converge?
It depends if it's a type 1 or 2. For type 1 you must calculate the integral by replacing the infinity by a variable and then calculate the limit using this variable. For type 2 with a discontinuity you must split the integral in two parts and then calculate the integral using the same way than...- mat145
- Post #3
- Forum: Calculus and Beyond Homework Help
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M
For which value of a does int e^(ax) cos(x) dx converge?
Homework Statement For which value the definite integral (0 to infinity) e^ax cos(x) dx converges? Calculate for the value of a. Mathieu- mat145
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- Dx Value
- Replies: 7
- Forum: Calculus and Beyond Homework Help