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Serjik [45]
3 years ago
8

What is the integral ln x^1/3 dx.

Mathematics
1 answer:
Maksim231197 [3]3 years ago
6 0
Hello,

\int\limits{ln(x^\frac{1}{3}) } \, dx =\frac{1}{3}*\int\limits{ln(x) } \, dx \\\\
=\frac{1}{3}*(x*ln(x)-x)+C=\frac{x}{3}*(ln(x)-1)+C



Th\int\limits{ln(x) } \, dx=x*ln(x)- \int\limits{x* \frac{1}{x}   \, dx \\\\
=x*ln(x) -x+C

The last integration is made by "parties(in french)"

\int\limits{ln(x)} \, dx =x*ln(x)- \int\limits{x* \frac{1}{x} } \, dx \\\\
=x*ln(x)-x+C



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3.4x-7.2=5.8x+24 <br> I need help
notka56 [123]
3.4x - 7.2 = 5.8x + 24
3.4 - 5.8x = 24 + 7.2
-2.4x = 31.2
-2.4x / -2.4 = 31.2 / -2.4
x = -13
4 0
3 years ago
Mrs. Kang gave Caleb a collection of 25 marbles. Each month Caleb adds 4 marbles to his collection. Which inequality can be used
GarryVolchara [31]

Answer:

I did the math and got an answer of 17.5

Step-by-step explanation:

I divided 70 by 4 and got a result of 17.5. This probably means Caleb started his collection about 17 and 1/2 months ago. (I apologize if it's wrong)

3 0
3 years ago
Read 2 more answers
Polygons ABCD and A'B'C'D' are shown on the following coordinate grid:A coordinate grid is shown from positive 6 to negative 6 o
Blababa [14]
<span>A(2, -2), B(4, -2), C(1, -3), D(5, -3).

A'(1, 2), B'(1, 4), C'(2, 1), D'(2, 5)

That looks like a rotation 90 degrees around the origin then a translation.  

Let's do the rotation ABCD->A"B"C"D"

The rotation is (x,y)->(-y,x)

</span>A"(2, 2), B"(2,4), C"(3,1), D"(3,5).

Compare to
 
A'(1, 2), B'(1, 4), C'(2, 1), D'(2, 5)

we need to translate one unit to the left.

Answer: 90 degree rotation around the origin then translation by (-1,0)

5 0
3 years ago
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please help me! What is the approximate value of y? Round to the nearest tenth. A.) 3.1 B.) 3.9 C.) 4.6 D.) 5.4
cluponka [151]

Answer:

Option (C). 4.6 cm

Step-by-step explanation:

In the figure attached,

A right triangle has been given with hypotenuse = 6 cm, leg 1 = x cm, leg 2 = y cm and one angle = 50°

By applying Sine rule in this triangle,

Sin(50)° = \frac{\text{Opposite side}}{\text{Hypotenuse}}=\frac{\text{Leg 1}}{\text{Hypotenuse}}

Sin(50)° = \frac{x}{6}

x = 6(Sin50°)

x = 4.59

x ≈ 4.6 cm

Therefore, Option (C) will be the answer.

6 0
4 years ago
0.1x+0.2y=-1;0.5x-0.9y=6.4
Harman [31]
.1x+.2y=-1
.5x-.9y=6.4

×-5 equation .1x+.2y=-1

-.5x-y=5
.5x-.9y=6.4

solve by elimination

-1.9y=11.4
÷-1.9 both sides
y=-6

solve for X

.1x+.2 (-6)=-1
.1x-1.2=-1
+1.2 both sides
.1x=.2
÷ 1 both sides
x=2

plug into 2nd equation to see if it's true

x=2
y=-6

0.5(2)-0.9(-6)=6.4
1+5.4=6.4
6.4=6.4 answers hold true
4 0
4 years ago
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