JanatJ340479 JanatJ340479
  • 25-10-2022
  • Mathematics
contestada

Find du and v. Treat a and n as constants.

Find du and v Treat a and n as constants class=

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CharlieannE161932 CharlieannE161932
  • 25-10-2022

Stated that;

[tex]u=x^n[/tex]

Then, differentiating u with respect to x using the power rule where n is a constant is;

[tex]\begin{gathered} du=(n\times1)x^{n-1} \\ du=nx^{n-1} \end{gathered}[/tex]

Also,

[tex]dv=e^{ax}[/tex]

Then, we can find v by integrating, we have;

[tex]\begin{gathered} \int dv=\int e^{ax}dx \\ v=\frac{1}{a}e^{ax} \\ \end{gathered}[/tex]

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