- #1
pcvrx560
- 8
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If I had an integral
[tex] \int_{-1}^{1}e^{x}dx [/tex]
Then performing the substitution [itex] x=\frac{1}{t} [/itex] would give me
[tex] \int_{-1}^{1}-e^\frac{1}{t}t^{-2}dt [/tex]
Which can't be right because the number in the integral is always negative. Is this substitution not correct?
Sorry if I am being very thick but I can't figure out why I can't evaluate this simple integral with this change of variables.
[tex] \int_{-1}^{1}e^{x}dx [/tex]
Then performing the substitution [itex] x=\frac{1}{t} [/itex] would give me
[tex] \int_{-1}^{1}-e^\frac{1}{t}t^{-2}dt [/tex]
Which can't be right because the number in the integral is always negative. Is this substitution not correct?
Sorry if I am being very thick but I can't figure out why I can't evaluate this simple integral with this change of variables.
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