$MathMaster logo$

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 Pythagorean theorem and how is it expressed mathematically?

Question: In a right-angled triangle with an angle of 30 degrees and a hypotenuse of 10 units, find the length of the side adjacent to the angle.

What is the derivative of sin(2x^3) with respect to x?

New questions in Mathematics

How do you think the company has increased or decreased its income?

a bank finds that the balances in its savings accounts are normally distributed with a mean of $500 and a standard deviation off of $40. What is the probability that a randomly selected account has a balance of more than $400?

[(36,000,000)(0.000003)^2]divided(0.00000006)

30. In 8 s, a car that starts from rest and moves with uniformly accelerated motion has achieved a speed of 72m/s. How much space must it travel to reach a speed of 90m/s? Sunshine: 450 m

A company that manufactures personal hygiene items purchases machinery for $220,000 that is considered to last 7 years; it is estimated that at the end of the period it will have a salvage value of $1000. Find: to. The depreciation rate. b. The book value at the end of the sixth year.

I need to know what 20% or £3292.75

The thermal representation f(x) = 20 times 0.8 to the power of x is known from an exponential function f. Specify the intersection point with the y-axis

Three squares have a total area of 35.25 𝑐𝑚2 . The larger square has twice the side-length of the middle-sized square. The smaller square has its side length exactly 0.5 cm smaller than the middle-sixed square. Find the side lengths of each of the three squares.

form a key for your lock containing the numbers 2 2 5 8 How many different keys can you form?

Calculate the minimum size of a simple random sample assuming a sampling error of 5% assuming that the population size is 100 elements

factor the polynomial completely over the set of complex numbers b(x)=x^4-2x^3-17x^2+4x+30

94 divided by 8.75

2x-5-x+2=5x-11

00 piece jigsaw puzzle. the completed puzzle is 10x10. each piech connects to at least 2 other pieces. i plan to assemble by taking pieces out of box one by one. if i've already taken out 2 pieces that dont directly connect, what is the minimum number of additional pieces that i need to draw to in order to guarentee that the original 2 pieces connect?

Find I (Intrest) using simple interest formula of 17700 @ 15% for 4 years

0<x<2π aralığındaki f(x)=x÷2 fonksiyonunun 0 < x < 4π için grafiğini çiziniz ve 0<x<2n için Fourier seri dönüşümünü gerçekleştiriniz.

a coffee shop has 9 types of creamer and 11 types of sweetener. In how any ways can a person make their coffee?

the length of the fenced in area is to be 5 ft greater than the width and the total amount of fencing to be used is 89 ft find the width and length

A small box measures 10 in. by 4 in. by 6 in. high. Find the volume of the box.

To apply a diagnostic test, in how many ways can 14 students be chosen out of 25? if the order does not matter

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