2 x² In (x) dx ₁ u = ln For a = 11, find S sin ³ ax cos ter value = 0 the integ keep ax dx of antiderivative 4 decimals.
2 x² In (x) dx ₁ u = ln For a = 11, find S sin ³ ax cos ter value = 0 the integ keep ax dx of antiderivative 4 decimals.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
A=11
Enter the value of antiderivative for X=0 and C=0. Keep 4 decimal
![The handwritten notes appear to deal with integral calculus and involve the calculation of indefinite integrals using substitution methods. Below is the transcription of the text:
---
1. Integrate \( \int x \cdot 2 \ln(4x) \, dx \)
- Let \( u = \ln(4x) \)
2. For \( a = 11 \), find
\[
\int \sin(3ax) \cos(4ax) \, dx
\]
- Value of antiderivative, keep 4 decimals.
---
This text suggests finding the integral of two different expressions with specified operations and conditions. The first task involves a logarithmic function and implies the use of integration by parts or substitution. The second task involves trigonometric functions with a specific parameter \( a \) set to 11 and requires calculating the antiderivative to four decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe35298e5-10ed-452c-b18c-35d9ef29ce25%2Fd8fccf9a-c727-41e8-9b89-0c64e52629f6%2Fqf9hoq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The handwritten notes appear to deal with integral calculus and involve the calculation of indefinite integrals using substitution methods. Below is the transcription of the text:
---
1. Integrate \( \int x \cdot 2 \ln(4x) \, dx \)
- Let \( u = \ln(4x) \)
2. For \( a = 11 \), find
\[
\int \sin(3ax) \cos(4ax) \, dx
\]
- Value of antiderivative, keep 4 decimals.
---
This text suggests finding the integral of two different expressions with specified operations and conditions. The first task involves a logarithmic function and implies the use of integration by parts or substitution. The second task involves trigonometric functions with a specific parameter \( a \) set to 11 and requires calculating the antiderivative to four decimal places.
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