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2 years ago

Anyone help with this please? I need a, b and c

Mathematics

1 answer:

skad [1K]2 years ago

7 0

I hope this helps you

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Integrate 1 - x / x(x2 + 1) d x by partial fractions.

solniwko [45]

Answer:

$log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x$

Step-by-step explanation:

step 1:- by using partial fractions

$[tex]\frac{1-x}{x(x^{2}+1) } =\frac{A(x^{2}+1)+(Bx+C)(x }{x(x^{2}+1) }$ ......(1)

step 2:-

solving on both sides

$1-x=A(x^{2} +1)+(Bx+C)x......(2)$

substitute x =0 value in equation (2)

1=A(1)+0

A=1

comparing x^2 co-efficient on both sides (in equation 2)

0 = A+B

0 = 1+B

B=-1

comparing x co-efficient on both sides (in equation 2)

-1 = C

step 3:-

substitute A,B,C values in equation (1)

now

$\\\int\limits^ {} \, \frac{1-x}{x(x^{2}+1) } d x =\int\limits^ {} \frac{1}{x} d x +\int\limits^ {} \frac{-x}{x^{2}+1 } d x -\int\limits \frac{1}{x^{2}+1 } d x$

by using integration formulas

i) by using $\int\limits \frac{1}{x} d x =log x+c........(a)\\\int\limits \frac{f^{1}(x) }{f(x)} d x= log(f(x)+c\\$ .....(b)

$\int\limits tan^{-1}x dx =\frac{1}{1+x^{2} } +C$ .....(c)

step 4:-

by using above integration formulas (a,b,and c)

we get answer is

$log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x$

6 0

2 years ago

What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)?

Masteriza [31]

Answer:c

Just had it on apex

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is 7.884 rounded to the nearest hundredth

Korvikt [17]

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The Answer is 7.88

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8 0

2 years ago

Read 2 more answers

Solve for m<c. (Enter your answer as a whole mumber)

kupik [55]

2y + 4 + x = 90

2y + 4 + 3y + x = 180

5y + x + 4 = 180

x = 176 - 5y

2y + 4 + (176 - 5y) = 90

-3y + 180 = 90

-3y = -90

y = 30

x = 176 - 5(30)

x = 26 degrees

Hope this helps! :)

4 0

3 years ago

Find the area please help

crimeas [40]

8x^2*3xy

24x^3y I believe. Sorry if I’m a little rusty

6 0

2 years ago