Question

Why does 2x-10 become 2x-4-14??????

Substitute A = 2, B =-2 and C = 10 in equation (1),
20#
2 (-2)+10
2
2+4)-14
#2+42+5
2 2+4
14
#2+42+5
20#
That is
Integrate on both sides,
2c+ 4
(x - 1) (22 4x 5)
14
(« + 2)2 + 1
+ 14 tan-1( 2) +C
02 +42+5
20x
Thus,
024,40+5
Therefore, the value of the integral is
20x
024,40+5
Expand
Transcribed Image Text

Substitute A = 2, B =-2 and C = 10 in equation (1), 20# 2 (-2)+10 2 2+4)-14 #2+42+5 2 2+4 14 #2+42+5 20# That is Integrate on both sides, 2c+ 4 (x - 1) (22 4x 5) 14 (« + 2)2 + 1 + 14 tan-1( 2) +C 02 +42+5 20x Thus, 024,40+5 Therefore, the value of the integral is 20x 024,40+5

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: A particle travels clockwise on a circular path of diameter​ R, monitored by a sensor on the circle ...

A: Before we get into the question, please recall the theorem that: An angle in a semi circle is always...

Q: Find the area, in square units, bounded above by f(x)=6x2 −2x−19 and below by g(x)=7x2 +12x+21.

A: f(x)=6x2 −2x−19 and g(x) = 7x2 +12x+21.As a first step, we need to find the point of intersection of...

Q: Find the derivative of the inverse function  f(x) = x/x+2

A: Click to see the answer

Q: The area of a circle increases at a rate of 3 cm^2 per second. Find a) how fast is the radius changi...

A: Given information:The area of a circle increases at a rate of 3 cm square per second

Q: s9-3x then y If y O 89-3x)4 25 O 819-3x)4 25 O 8(0-3x)4 O -24(9-3x)4 O 24(9-3x)4

A: The function is given by,

Q: (3x2+5)8x-92 fy(1x4 + x2 logarithmic differentiation gives y (32+5)(8r-92 1x44+x2 16 2x 3x2+5 6-x9 6...

A: We have to find derivative using lograthmic differentiation .Question is given below:

Q: Hello,  find the exact value of each of the following under the given conditions.  sin alpha=3/5, 0&...

A: We have to find value of tan(alpha-beta).Information is given below:

Q: Logarithmic differentiation see below

A: The given function is ,

Q: a) and b) please

A: Part (a)The population of the town in 2016 is 63,000 and the growth rate is 2.3% per year.

Q: Determine if y=e−x+8x−9 is a solution to the initial value problem given by y′+1=8x−y and y(0)=−8.

A: The given differential equation is y′+1=8x−y.The solution of the deferential equation is given as, y...

Q: Find the function which solves the initial value problem dy/dx= 3ex −2x;  y(0)=−1.

A: Given that dy/dx = 3ex-2x;   y(0) = 1.dy = (3ex-2x)dx            (By cross multiplying)Integrate on ...

Q: 5. (4.9) A particle is moving with the given data. Find the position function of the particle: at)si...

A: Acceleration function is given as a(t) = sin(t) + 3cos(t).Integrate the acceleration function to get...

Q: Determine the radius of convergence of the following power series. Then test the endpoints to determ...

A: We have been given a power series and we are required to find its radius of convergence as well as i...

Q: Determine whether the following statements are true and give an explanation or counterexample.

A: Given information: 

Q: How can I get the result? Which is the result?

A: The definite integral is given by,

Q: 2. Given the given function f(x) = x+defined on the interval [1, 3], determine if the function satis...

A: The given function is continuous and differentiable on the whole real numbers except zero. In partic...

Q: How can I get the result? Which is the result?

A: The function is given as

Q: Suppose that the demand for a product is given by  p= 1/2ln (5000-q/q+1) where p is in hundreds of d...

A: The elasticity of demand when the quantity demanded (q) is 2 and the price (p) is 3.71 hundreds of d...

Q: Is y=e6x −3x−2 a solution to the differential equation shown below? y′−6y=7x+3

A: Here given differential equation is:Find the solution of given differential equation and match the g...

Q: If y (x25x-1)e2x then y (3x2-10x+7)e2x O (2.7x+4)e2x O(22+ 12x + 3)e2x (2x+5)32x (2x 52-1

A: Given, 

Q: The rectangular coordinates of a point are given. Find the polar coordinates (r,0) of this point wit...

A: The given rectangular coordinates of a point is,

Q: Use the substitution formula Integral from a to b f left parenthesis g left parenthesis x right pare...

A: The given integral is,

Q: Consider the following function. Without finding teh inverse, evaluate the derivative of the inverse...

A: Given information:The given function is .

Q: Logarithmic Differentaition - see attachment

A: Given information:The given function is 

Q: The rectangular coordinates of a point are given. Find polar coordinates of the point. Express 0 in ...

A: Let the polar coordinates of given point are ( rcos(thita), rsin(thita)) as shown on board.By compar...

Q: A van is accelerating at a rate of 7 meters per second squared. The initial velocity of the van is 6...

A: Given: The van is accelerating at a rate of 7 meters per second squared. That is, a(t) = 7.The initi...

Q: 2ex/2 dx = 0 1 (e-1) 1 (e-1) e 1 2(e-) 4(e

A: Given:The integral is 

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R i...

A: We first draw a rough sketch of y=3/sqrt(x), y=0, x=5 and x=25. And shade the area between them. 

Q: suppose the line tangent to a graph of f at x = 4 is y = 3x+2 and suppose y = 5x -3 is the line tang...

A: Given information:The line tangent to a graph of f at x = 4 is y = 3x+2 and suppose y = 5x -3 is the...

Q: Graph the following function.  Then use geometry to find the area and net area of the region describ...

A: Graphed the lines first. Area between y=3x-6,x axis and x=8 is above the x -axis (Blue shaded area)....

Q: Only problem I'm stuck on for this assignment please help!

A: Hi there! The question is having many sub-parts. Since no specification is given, only first three s...

Q: Activity 5 Inverse Functions and their Derivatives 10. When a camera flash goes off, the batteries i...

A: Given:The function is Q(t) = Q0(1−e−t/a), where t is the time in seconds and Q0  is the maximum char...

Q: What's the domain of x-1 / (1 - e^(x - 3))

A: Since this function is a rational function, the denominator can't be equal to 0. 

Q: How can I get the result? Which is the result?

A: Click to see the answer

Q: Help in #1 please.

A: Given information:The parametric equation is  

Q: The funciton f in the figure satisfies the lim f(x)=5 as x approaches 4.  Determine the maximum valu...

A: (A) From the inequality |f(x)-5|<1 , we\'ll find range of f(x) first.

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x ...

A: We are given equations as 

Q: Find the work required to move the object on the line segment. Please refer to attached image.

A: As a first step we need to parameterize the curve C. The curve has two points (1, 4, 1) and (4, 16, ...

Q: 8xy′+4(ln x)y)(4) +5x3 y′=−6x4 y−9xy″   What is the order of the differential equation shown above?

A: The given differential equation is,  8xy′ +4(lnx)y4 +5x3y′ = -6x4y - 9xy″.The order of the highest d...

Q: 1. Indefinite and definite integrals including trigonometric functions and ones that will require th...

A: a. Integrate the given indefinite integral with respect to x as follows.

Q: Help with #9

A: For a given curve r(t), the tangential component aT and the normal component aN are given by express...