$MathMaster logo$

MathMaster

Home
general
using the integration by parts method calculate the integral of x ln 1 x dx x 4 4 x 6 x 4 8 x 3 x 4 6

Question

Using the integration by parts method, calculate the integral of [x².ln(1/x)]dx: x 4 /4 x³/6 x 4 /8 x³/3 x 4 /6

Name: Solved: Using the integration by parts method, calculate the integral of [x².ln(1/x)]dx: x 4 /4 x³/6 x 4 /8 x³/3 x 4 /6 - MathMaster
Brand: MathMaster
Rating: 4.9 (55 reviews)

likes

274 views

Answer to a math question Using the integration by parts method, calculate the integral of [x².ln(1/x)]dx: x 4 /4 x³/6 x 4 /8 x³/3 x 4 /6

$Expert avatar$

Andrea

4.5

83 Answers

$\int{ {x}^{2} \times \ln\left({{x}^{-1}}\right) } \mathrm{d} x$

$\int{ {x}^{2} \times \left( -\ln\left({x}\right) \right) } \mathrm{d} x$

$\int{ -{x}^{2} \times \ln\left({x}\right) } \mathrm{d} x$

$-\int{ {x}^{2} \times \ln\left({x}\right) } \mathrm{d} x$

$-\int{ \ln\left({x}\right) \times {x}^{2} } \mathrm{d} x$

$-\left( \ln\left({x}\right) \times \frac{ {x}^{3} }{ 3 }-\int{ \frac{ {x}^{3} }{ 3 } \times \frac{ 1 }{ x } } \mathrm{d} x \right)$

$-\left( \ln\left({x}\right) \times \frac{ {x}^{3} }{ 3 }-\int{ \frac{ {x}^{2} }{ 3 } } \mathrm{d} x \right)$

$-\left( \ln\left({x}\right) \times \frac{ {x}^{3} }{ 3 }-\frac{ 1 }{ 3 } \times \int{ {x}^{2} } \mathrm{d} x \right)$

$-\left( \ln\left({x}\right) \times \frac{ {x}^{3} }{ 3 }-\frac{ 1 }{ 3 } \times \frac{ {x}^{3} }{ 3 } \right)$

$-\frac{ \ln\left({x}\right) \times {x}^{3} }{ 3 }+\frac{ {x}^{3} }{ 9 }$

$\begin{array} { l }-\frac{ \ln\left({x}\right) \times {x}^{3} }{ 3 }+\frac{ {x}^{3} }{ 9 }+C,& C \in ℝ\end{array}$

Frequently asked questions (FAQs)

What is the angle relationship between two triangles when all corresponding angles are congruent?

What is the limit of (3x^2 + 2x - 1) / (4x^2 - 5x + 2) as x approaches 2?

Question: Find the value of x for which the logarithmic function f(x) = log x is equal to the natural logarithmic function f(x) = ln x. (

New questions in Mathematics

calculate the derivative by the limit definition: f(x) = 6x^3 + 2

8x-(5-x)

58+861-87

*Question!!* *Victory saved 3,000 in first bank and 2,000 Naira in union bank PSC with interest rate of X% and Y% per annual respectively his total interest in one year is #640. If she has saved 2,000 naira with first bank and 3,000 naira in union bank for same period she would have made extra 20# as additional interest, then find the value of X and Y

132133333-33

how many arrangement can be made of 4 letters chosen from the 8 letters of the world ABBSOLUTE

Desarrolla (2x)(3y + 2x)5

A merchant can sell 20 electric shavers a day at a price of 25 each, but he can sell 30 if he sets a price of 20 for each electric shaver. Determine the demand equation, assuming it is linear. Consider (P= price, X= quantity demanded)

12(3+7)-5

Solve the equation: sin(2x) = 0.35 Where 0° ≤ x ≤ 360°. Give your answers to 1 d.p.

Solve equations by equalization method X-8=-2y 2x+y=7

Sabendo+que+o+tri%C3%A2ngulo+ABC+%C3%A9+ret%C3%A2ngulo+e+que+um+de+seus+%C3%A2ngulos+mede+30+quanto+mede+o+terceiro+ tri%C3%A2ngulo

A hardware bill totals $857.63 with discounts of 5% and 3%. What is the net cost of the Material ?

In a 24 hours period, the average number of boats arriving at a port is 10. Assuming that boats arrive at a random rate that is the same for all subintervals of equal length (i.e. the probability of a boat arriving during a 1 hour period the same for every 1 hour period no matter what). Calculate the probability that more than 1 boat will arrive during a 1 hour period. (P(X>1) ) Give your answers to 4 decimal places and in a range between 0 and 1

Find the zero of the linear function 8x + 24 = 0

A post office has three categories of letters: 60% are from businesses, 30% are individual mail, and the remaining 10% are government mail. 5% of the letters from businesses have address errors, 10% of the individual mail has address errors, while 1% of the government mail has address errors. If we receive a letter with an address error, what is the probability that it is individual mail?"

The average weekly earnings in the leisure and hospitality industry group for a re‐ cent year was $273. A random sample of 40 workers showed weekly average ear‐ nings of $285 with the population standard deviation equal to 58. At the 0.05 level of significance can it be concluded that the mean differs from $273? Find a 95% con‐ fidence interval for the weekly earnings and show that it supports the results of the hypothesis test.

The slope of the tangent line to the curve f(x)=4tan x at the point (π/4,4)

draw the condensed formula fpr 3,3,4 triethylnonane

Sin(5pi/3)

Using the integration by parts method, calculate the integral of [x².ln(1/x)]dx: x 4 /4 x³/6 x 4 /8 x³/3 x 4 /6

Answer to a math question Using the integration by parts method, calculate the integral of [x².ln(1/x)]dx: x 4 /4 x³/6 x 4 /8 x³/3 x 4 /6

You might be interested in