MATHEMATICS COLLEGE

Decide on what substitution to use, and then evaluate the given integral using a substitution.(Remember to use absolute values where appropriate.) ∫ [(x⁵− x⁴) / (5x6 − 6x5)] dx

Answers

Answer 1

Answer:

Answer:

The answer is $(1)/(30)\Big[2\log x-\log 6\Big]$

Step-by-step explanation:

Given,

$\int (x^(5)-x^(4))/(5x^(6)-6x^5)dx$

$=\int (x^4(x-1))/(x^5(5x-6))dx$

$=(1)/(6)\int\Big[(1)/(x)+(1)/(5x-6)\Big]dx$

$=\fracd{1}{6}\int (1)/(x)dx+(1)/(6* 5)\int(5)/(5x-6)dx$

$=(1)/(30)\Big[5\log x +\log (5x-6)\Big]$

$=(1)/(30)(2\log x-\log 6)$

Hence the result.

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A hipopótamos weight 1.5 tons what is its weight in ounces

Answers

Answer:

48000

Step-by-step explanation:

multiply the mass value by 32000

Answer:

48000

Step-by-step explanation:

Someone help me please

Answers

Answer:

√111 lie between 10 and 11

Step-by-step explanation:

In order to calculate betwwen which values does √111 lie we would have to make the following calculation:

If we calculate 10∧2, the result is=100

If we calculate 11∧2 the result is=121

Therefore, according to that calculations we can be secure that the most certain options of would be that the √111 would be 10<√111<11

Therefore, √111 lie between 10 and 11

9x-3=87 what is the anwser

Answers

Answer:

x=10

Step-by-step explanation:

9x-3=87

you add 3 to both sides

9x-3(+3)=87(+3)

which equals

9x=90

90/9= 10

answer:

x =10

I hope this helped!

Answer:

x=10

Step-by-step explanation:

9x-3=87

add 3 to both sides

9x=90

divide by 9 on both sides

x=10

WILL GIVE BRAINLIEST!!! 50POINTS. PLEASE EXPLAIN!What is the recursive rule for this geometric sequence? 2, 1/2, 1/8, 1/32, ... Enter your answers in the boxes.
an=___⋅an−1, a1=___

Answers

$\bf \stackrel{a_1}{2}~~,~~\stackrel{2\cdot (1)/(4)}{\cfrac{1}{2}}~~,~~\stackrel{(1)/(2)\cdot (1)/(4)}{\cfrac{1}{8}}~~,~~\stackrel{(1)/(8)\cdot (1)/(4)}{\cfrac{1}{32}}\n\n-------------------------------\n\na_n=\cfrac{1}{4}\cdot a_(n-1)\qquad \qquad a_1=2$