Integral question
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Have you tried substitution → u = e7x
Please show us what you have tried and exactly where you are stuck.
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Please share your work/thoughts about this assignment.
Dr.Peterson
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What you did isn't what was suggested; but you could now let [MATH]v = e^u[/MATH], or [MATH]e^u + 6[/MATH], or even [MATH]\sqrt{e^u+6}[/MATH]. I initially made a series of substitutions, starting with what was suggested, equivalent to doing each of these in turn; the result is a rational integrand that can be handled by standard method (partial fractions at worst).
When you are stuck in integration, the standard thing to do is either (a) do the next thing, or (b) back up and try something else. It doesn't always work (not all integrals can be worked out at all); but it's far better than trying one thing and stopping. And if you were given it as an assignment, then you can expect that some method you've learned will work!
When you are stuck in integration, the standard thing to do is either (a) do the next thing, or (b) back up and try something else. It doesn't always work (not all integrals can be worked out at all); but it's far better than trying one thing and stopping. And if you were given it as an assignment, then you can expect that some method you've learned will work!