- how do I evaluate this integral?

  • Thread starter Thread starter frasifrasi
  • Start date Start date
  • Tags Tags
    Integral
Click For Summary

Homework Help Overview

The discussion revolves around evaluating the integral from 1 to 4 of sqrt(x) * ln(x) dx, which falls under the subject area of calculus, specifically integral calculus.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to evaluate the integral using integration by parts but indicates that it did not yield the expected results. Some participants suggest that the integration by parts approach is valid and provide insights into the differentiation of related functions. Others question the correctness of the steps taken, particularly regarding the manipulation of the integral involving sqrt(x) and its relationship to 1/x.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the integral and the steps involved in the integration process. Some guidance has been offered regarding the differentiation of functions, but there is no explicit consensus on the correct approach or final answer.

Contextual Notes

There appears to be some confusion regarding the application of integration by parts and the manipulation of exponents in the integral, indicating potential gaps in understanding or assumptions about the integral's setup.

frasifrasi
Messages
276
Reaction score
0
URGENT - how do I evaluate this integral?

integral from 1 to 4 of sqrt(x)*ln (x) dx

I tried parts but didn't work

Does anyone know?
 
Physics news on Phys.org
Sure it works!
Remember that [tex]\frac{d}{dx}\frac{2}{3}x^{\frac{3}{2}}=x^{\frac{1}{2}}=\sqrt{x}[/tex]
 
The answer is 16/3ln4 - 28/9

WHen i get to int vdu , I have int sqrt(x)*1/x dx, is this right?

Do i just subtract the exponents from here?
 
frasifrasi said:
The answer is 16/3ln4 - 28/9

WHen i get to int vdu , I have int sqrt(x)*1/x dx, is this right?

Do i just subtract the exponents from here?

yes...
 

Similar threads

Solve the given problem involving integration
  • · Replies 6 ·
Replies
6
Views
2K
Integration problem using inscribed rectangles
  • · Replies 14 ·
Replies
14
Views
2K
Volume of Static Solid Using Cross-Sectional Area (Integration)
  • · Replies 2 ·
Replies
2
Views
1K
Verify Green's Theorem in the given problem
  • · Replies 10 ·
Replies
10
Views
2K
Solve the first order linear differential equation
  • · Replies 26 ·
Replies
26
Views
2K
How do I evaluate this integral?
  • · Replies 6 ·
Replies
6
Views
2K
Prove that the integral is equal to ##\pi^2/8##
  • · Replies 105 ·
4
Replies
105
Views
11K
Please evaluate this double integral over rectangular bounds
  • · Replies 10 ·
Replies
10
Views
2K
Volume between a region (above x-axis and below parabola) and a surface
  • · Replies 4 ·
Replies
4
Views
3K
Complex Integration Along Given Path
  • · Replies 3 ·
Replies
3
Views
2K