1. Evaluate the integral ∫x5(x^6−10)^47dx by making the substitution u=x^6−10.

1.  Evaluate the integral
by making the substitution u=x^6−10.


2. Evaluate the indefinite integral.


=_  + C

3.  Evaluate the indefinite integral.



4.  Evaluate the indefinite integral.


5.  Evaluate the indefinite integral.

∫4/(t+5)^8 dt


6.  Evaluate the indefinite integral:

 ∫x/x^2+4 dx


7.   A cell culture contains 4 thousand cells, and is growing at a rate of r(t)=11e^0.24t thousand cells per hour.

Find the total cell count after 4 hours. Give your answer accurate to at least 2 decimal places.

 _ thousand cells 

8.  Use integration by parts to evaluate the integral:
∫2te^tdt = 

9.  ∫4xe^7xdx =    + C 

10.  Use integration by parts to evaluate the integral:


11.  Use integration by parts to evaluate the integral:


12.  Find ∫4x/3x+2dx


13.  Integrate: ∫x/(x^4+25)^1/2dx

 =_ + C 

14.  Find ∫(−2x^2+3/x−1/x^4+4√x)dx

 =_ + C 

15.  Find ∫(x+4)(x−6)dx

  =_ + C 

16.  The traffic flow rate (cars per hour) across an intersection is r(t)=400+700t−270t2r(t)=400+700t-270t^2, where t is in hours, and t=0 is 6am. How many cars pass through the intersection between 6 am and 7 am?


17.  A company’s marginal cost function is 17/√x where x is the number of units.

Find the total cost of the first 36 units (of increasing production from x=0 to x=36)

Total cost: $





Table of Contents

Calculate your order
Pages (275 words)
Standard price: $0.00

Latest Reviews

Impressed with the sample above? Wait there is more

Related Questions

Social Disorganization

Description Chapter 7 of Vold’s Theoretical Criminology discusses social disorganization from a variety of perspectives. Begin by defining social disorganization. Then, discuss the factors that

teratogen and endocrine disruptor

 Choose on teratogen or endocrine disruptor. Using one research article, describe your teratogen or endocrine disruptor. Describe what it is and what negative effects it

International Relations – Premium Paper Help

Premium Paper Help is a professional writing service that provides original papers. Our products include academic papers of varying complexity and other personalized services, along

New questions

Don't Let Questions or Concerns Hold You Back - Make a Free Inquiry Now!