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LadiesMan
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[SOLVED] Integration by parts
1. Evaluate
[tex]\int e^{x}sinxdx[/tex]
[Hint: Integrate by parts twice.]
I can't seem to get an answer, but by integrating, the process is redundant (repeats itself).
Thanks
Work:
[tex]\int e^{x}sinxdx[/tex]
Let u = sin x, therefore du = cosxdx
Let [tex]dv = e^{x}dx[/tex], therefore v = [tex]e^{x}[/tex]
Using Integration by parts in Differential Notation
[tex]\int e^{x}sinxdx = e^{x}sinx - \int e^{x}cosxdx[/tex] <--- See how [tex]\int e^{x}cosxdx[/tex] The process of integration will repeat over and over again.
What am I doing wrong?
1. Evaluate
[tex]\int e^{x}sinxdx[/tex]
[Hint: Integrate by parts twice.]
I can't seem to get an answer, but by integrating, the process is redundant (repeats itself).
Thanks
Work:
[tex]\int e^{x}sinxdx[/tex]
Let u = sin x, therefore du = cosxdx
Let [tex]dv = e^{x}dx[/tex], therefore v = [tex]e^{x}[/tex]
Using Integration by parts in Differential Notation
[tex]\int e^{x}sinxdx = e^{x}sinx - \int e^{x}cosxdx[/tex] <--- See how [tex]\int e^{x}cosxdx[/tex] The process of integration will repeat over and over again.
What am I doing wrong?
Last edited: