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2 years ago

Please help with this.

Mathematics

1 answer:

Tamiku [17]2 years ago

7 0

Answer:

Step-by-step explanation:

See attachment

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Find the following integral. <br> Integrate x + 5/x^2 +10x +26 dx

sweet-ann [11.9K]

Given :

Polynomial , $f(x)=x+\dfrac{5}{x^2}+10x+26$ .

To Find :

Integration of f(x) .

Solution :

We know , integration of $x^n$ is :

$\int x^n \, dx = \dfrac{x^{n+1}}{n+1}+C$

( Here , is C is a constant )

Now ,

$\int f(x)\ dx=\int( x+\dfrac{5}{x^2}+10x+26)dx\\ \\ \int f(x)\ dx= \int x\ dx+\int 5x^{-2}\ dx+\int 10 x \ dx +26\ dx\\ \\ \int f(x)\ dx=\dfrac{x^2}{2}+\dfrac{5\times x^{-1}}{(-1)}+\dfrac{10x^2}{2}+26x+C\\\\ \int f(x)\ dx=\dfrac{11x^2}{2}+26x-5x^{-1}+C$

Therefore , the integration is $\dfrac{11x^2}{2}+26x-5x^{-1}+C$ .

Hence , this is the required solution .

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3 years ago

What is the midway of XY?

Lostsunrise [7]

The midpoint of XY is -0.5

7 0

3 years ago

Which diagram shows lines that must be parallel lines cut by a transversal? 2 horizontal lines are intersected by a third line.

ivanzaharov [21]

Answer:

(A) At the intersection of the first line with the third line, the bottom left angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 65 degrees.

Step-by-step explanation:

Alternate interior angles are supplementary when parallel lines are crossed by a transversal. The first description seems to be describing alternate interior angles. (See attachment)

_____

<em>Comment on orientation</em>

If the transversal is oriented horizontally, then the descriptions of the angles will be of different angles than assumed here.

8 0

3 years ago

Read 2 more answers

Will mark you brainliest for the best answer! Find the exact length of arc ADC . In your final answer, include all of your calcu

nevsk [136]

Answer:

360 whole circle minus the 60 you don't want =300

Step-by-step explanation:

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1 year ago

Find the sum of the geometric sequence –3, 15, –75, 375, … when there are 8 terms

arlik [135]

First, we need to solve for the common ratio from the data given by using the equation.

a(n) = a(1) r^(n-1)
15 = -3 r^(2-1)
-5 = r
r = -5

Then, we can find the sum by the expression:

S(n) = a(1) ( 1 - r^n) / 1-r
S(8) = -3 (1 + 5^8) / 1+5
S(8) = -195313

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3 years ago