can you help me with the parts that i got wrong The following integral may be evaluated by using integration by parts.Note: e ³ can be entered by typing exp(-3x).3xa)-3zmust be written in the form uThe product -7redu duDetermine u,, and udz dzU=V=b)Apply the integration by parts formula:(-1/3) e^(-3x)fudz =fudz =S-72-7xUV-7x1 -3ze-.3-7ze dz(7/3)x e^(-3x)-S-S||-7 -7e^(-3x) e(7/9) e^(-3x) + C-3z>Gap CYourGapYourGapYourGapYourYou sdrX dz c)Hence write down the indefinite integral:1--7ze(Don't forget the constant of integration as this is an indefinite integral.)77-3r(7/3x)e^(-3x)+7/9e^(-3x)+C | ²* + e*+C *Te9-3x dr

The integral isFormulas used,Using ILATE rule.

The following integral may be evaluated by using integration by parts. Note: e can be entered by typing exp(-3). 3r a) 3x must be written in the form u The product-7ae du du Determine u, and v U= (-1/3) e^(-3x) -7ze -3 dz -7X -7x 3 3z E -3-9 11 II -7 e^(-3x) e

The following integral may be evaluated by using integration by parts. Note: e can be entered by typing exp(-3). 3r a) 3x must be written in the form u The product-7ae du du Determine u, and v U= (-1/3) e^(-3x) -7ze -3 dz -7X -7x 3 3z E -3-9 11 II -7 e^(-3x) e

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter7: Integration

Section7.3: Area And The Definite Integral

Problem 1E: Explain the difference between an indefinite integral and a definite integral.

See similar textbooks

Related questions

Q: C -6 -5 -3 O -10 -9 -8 -7 -6 -5 -4 -3 -2 -10 -1 -2 1 10 5 9 B 76 5 4 3 2 1 Use the graph to fill in…

Q: Use an exponential model and a graphing calculator to estimate the answer to the following problem.…

Q: Sketch the graph of the equation by point plotting. y = (x - 2)² -1 X у Submit Answer y 6 -8 -10 0 2…

Q: The cost to print tote bags to sell to faculty and staff is $200 for the printer fee and $7 per bag.…

Q: The graph of a function is given to the right. Use the graph to find each of the following. a. The…

Q: Let J(x) Complete the table below. Round all table values to four decimal places, if necessary.…

Q: Name: Example 9: Prove that lim(4x - 5) = 7. Example 10: Prove that lim √√x = 0. x→0+

A: 9)limx-3(4x-5) =710)limx-0+ sqrt(x)=0

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. x2 - 5x…

A: limx→5x2−5xx2−25

Q: Integrate and evaluate √² + 7 +36 70 +1d

Q: b) Question 23 from the textbook: Use the given graph of f(x)=√x to find a number 8 such that if…

Q: Find the composite functions (fog) and (gof). What is the domain of each composite function?…

Q: Find f(x) if y = f(x) satisfies dy dx 35yx6 and the y-intercept of the curve y = f(x) is 3. ƒ(x) = =

Q: using integration by parts, evaluate the following: ∫ arctan4tdt

Q: | d²y 1. dx² Order: Degree: + dy dx - 3y = 0 Dependent Var: Independent Var: Linear: ?

A: The order of a differential equation is defined to be that of the highest order derivative it…

Q: Find the given limit. lim (-x² +9x-8) X X-5

A: Topic = Limits

Q: Q2/ Find the area bounded by the curves y x2and y- 2x - x² using numerical integration.

A: We have to find the area bounded by the curves.

Q: For the functions f(x) = notation. 3 x+4 and g(x) = 11 x+2 find the composition fog and simplify…

Q: Consider the logistic equation dy dz (b) Find the time t when yi(t) = 6. t = = y(1-y) (a) Find the…

A: The given differential equation

Q: Let f(x) = x² 1 1+x² The graph of f is given below. Use the graph of f to determine the given…

Q: ū Hence write down the indefinite integral: -5 ln (42) da (Don't forget the constant of integration…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Population Growth The graph of P(t) below shows the population (in thousands of people) of a city t…

Q: √√x-19 x-361 lim X-361

Q: A shipment of fruit is delivered to a warehouse. The boxes containing the fruit also contain fruit…

A: Population of fruit files in the warehouse as a function of the number of days since the boxes were…

Q: Evette creates a coordinate grid and plots 4 points on the grid. a) Which point is at 3,2? b) Write…

Q: 0.03t The population of a city can be modeled by P(t) = 17eº thousand persons, where t is the number…

A: We have to find the rate of change of city population between 2020 and 2028.

Q: Find the domain and range of the function graphed below. Use interval notation. -5 -4 -3 -2 -1 A)…

A: To find the domain and range of the function graphed below.

Q: Let f(x)= - X- 1 lim_ f(x) = x118 2 The graph of f is given below. Use the graph of f to determine…

Q: Find both first partial derivatives. - L (19 f(x, y): = fx(x, y) = fy(x, y) = (19t + 17) dt + L (19t…

A: Solution-

Q: 3 5 9x - sin(7x)dx

Q: The following integral may be evaluated by using integration by parts. Note: e 3 can be entered by…

Q: Solve the differentic (4y Cosy) dy/dx-3

Q: Suppose 294 mg. of a radioactive substance are present in a closed container and additional amounts…

A: Initial amount (No)= 294 mgDecay constant (k)=-0.02308 day-1Additional amount added = 3 mg every day

Q: The number of bacteria P (h) in a certain population increases according to the following function,…

A: The number of bacteria p(h) in a certain population increases according to function

Q: Find the derivative of the given function with respect to x. f(x) = -x² + 2x Step 1: Step 2: Step 3:…

Q: 3. A wire 10 m long is to be cut in two pieces. One piece is bent into a square and the other into a…

A: We have to find the length of wire for maximum and minimum area.

Q: Find all values of x and y such that fx(x, y) = 0 and f(x, y) = 0 simultaneously. f(x, y) = x² + 3xy…

Q: Consider the following. lim (3x) x-2 y 2 1 1 2 Use the graph to find the limit (if it exists). (If…

A: The limit of a function y=f(x) at a point x=a is the value y approaches as x approaches a from both…

Q: Solve the equation. Give exact answers. Do not use your calculator. e2x - 5ex + 4 = 0 X = X =…

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y1…

Q: Sketch the graph of the following function and use it to answer the following questions. 6 if x < -3…

Q: Given the equation x2 - 10x - 20y - 15 = 0. a. Write it in STANDARD FORM and find the following…

A: Since you have posted multiple subparts question in this question and as per company guidelines i…

Q: [22¹ sin (2³ - 1) da

Q: a) Verify that the function C x² is a solution of the differential equation xy' +2y = 4x², (x > 0).…

Q: 4-01 the (without using L'Hopital Rule).

Q: Consider the following. f(x) = √5-x 2x - 3 Find each limit. (If the limit

Q: Obtain the General Solution of the following differential equations. 1. x²y y' = ey

A: x2yy'=ey be the differential equationWe have to find general solution

Q: I = I = 4x - 1 2x²-x+44 1₂ dx Input the constant of integration as C. Input all numbers as integers…

Q: 3. (Parametrizations) Find parametric equations for the following curves. (a) line segment from…

A: Circle has radius of 2 units.Circle centered at the origin.Initial point (0, 2)Terminal point (-2,…

Q: The initial point of a vector v in R2 is at the origin and the terminal point is in quadrant II. If…

Q: In a right-angled triangle with a hypotenuse of 200cm, what is the size of a side opposite an angle…

A: The given right angle triangle has hypotenuse .The aim is to find the size of a side opposite an…

Question

can you help me with the parts that i got wrong

The following integral may be evaluated by using integration by parts.
Note: e ³ can be entered by typing exp(-3x).
3x
a)
-3z
must be written in the form u
The product -7re
du du
Determine u,, and u
dz dz
U=
V=
b)
Apply the integration by parts formula:
(-1/3) e^(-3x)
fudz =
fudz =
S-72
-7x
UV
-7x
1 -3z
e
-.
3
-7ze dz
(7/3)x e^(-3x)
-S
-S
||
-7 -7
e^(-3x) e
(7/9) e^(-3x) + C
-3z
>
Gap C
Your
Gap
Your
Gap
Your
Gap
Your
You s
dr
X dz

c)
Hence write down the indefinite integral:
1-
-7ze
(Don't forget the constant of integration as this is an indefinite integral.)
7
7
-3r
(7/3x)e^(-3x)+7/9e^(-3x)+C | ²* + e*+C *
Te
9
-3x dr

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Introduce to the given integral and formulas used

VIEW

Step 2: (a) Determining the functions

VIEW

Step 3: (b) Apply the integration by parts formula

VIEW

Step 4: (c) Solving the integral

VIEW

Solution

VIEW

Step by step

Solved in 5 steps with 7 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Explain the difference between an indefinite integral and a definite integral.
If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.
integral of 70/t+9
A complex function can be modified by the equation: y = cos(x^3) 3x^2Find the indefinite integral of the function ( ∫ cos(x^3)3x^2 dx) using a substitution method?
Simplify a/x+1/a divided by 1/a-a/x
Compute - (10-3x)¹. dx
Find B so that B^2 = A where A = 1 -1 0 -1 2 -1 0 -1 1 (1 −1 0−1 2 −10 −1 1)
Factor x* + 1 as a difference of squares by first adding and subtracting the same quantity. Use this factorization to evaluate / 1/ | 1/ (x *+ 1) dx.
Evaluate integral of dx/x-2 from -6to-10
Could you please show me the steps to calculate the indefinite integral of 3-2xdx? Thank you!
Find the integral of the following: 1. dx/x√(4x^2-9) 2. xdx/x^2√(x^4-1)
12x5y'' + 8xy + 3y = 6x5 - x