19. (In z)² da Answer

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Here is the transcription of the mathematical expressions that appear in the image:

19. \(\int (\ln x)^2 \, dx\)

20. \(\int \frac{z}{10^z} \, dz\)

21. \(\int e^{3x} \cos x \, dx\)

22. \(\int e^x \sin \pi x \, dx\)

23. \(\int e^{2\theta} \sin 3\theta \, d\theta\)

These integrals are typical problems in calculus, focusing on techniques such as integration by parts and substitution. Each integral requires specific methods to find the solution, and practicing these problems helps in understanding advanced calculus concepts.
Transcribed Image Text:Here is the transcription of the mathematical expressions that appear in the image: 19. \(\int (\ln x)^2 \, dx\) 20. \(\int \frac{z}{10^z} \, dz\) 21. \(\int e^{3x} \cos x \, dx\) 22. \(\int e^x \sin \pi x \, dx\) 23. \(\int e^{2\theta} \sin 3\theta \, d\theta\) These integrals are typical problems in calculus, focusing on techniques such as integration by parts and substitution. Each integral requires specific methods to find the solution, and practicing these problems helps in understanding advanced calculus concepts.
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