Complete the table by identifying u and du for the integral. [r(g(x)g(x) dx (tan(x)) (sec(x))² dx Need Help? Read It U= u = g(x) du = du = g'(x) dx dx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
**Complete the table by identifying \( u \) and \( du \) for the integral.**

\[
\begin{array}{|c|c|c|}
\hline
\int f\left(g(x)\right) g'(x)\, dx & u = g(x) & du = g'(x)\, dx \\ 
\hline
\int \left(\tan(x)\right)^9 \left(\sec(x)\right)^2\, dx & u = & du = \, dx \\
\hline
\end{array}
\]

**Need Help?** [Read It]
Transcribed Image Text:**Complete the table by identifying \( u \) and \( du \) for the integral.** \[ \begin{array}{|c|c|c|} \hline \int f\left(g(x)\right) g'(x)\, dx & u = g(x) & du = g'(x)\, dx \\ \hline \int \left(\tan(x)\right)^9 \left(\sec(x)\right)^2\, dx & u = & du = \, dx \\ \hline \end{array} \] **Need Help?** [Read It]
Expert Solution
Step 1

Given integral is

tanx9secx2dx

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