Save
Busy. Please wait.
Log in with Clever
or
show password
Forgot Password?
Don't have an account?  Sign up 
Sign up using Clever
or
Username is available taken
show password


Make sure to remember your password. If you forget it there is no way for StudyStack to send you a reset link. You would need to create a new account. Your email address is only used to allow you to reset your password. See our Privacy Policy and Terms of Service.

Already a StudyStack user? Log In

Reset Password
Enter the associated with your account, and we'll email you a link to reset your password.
focusNode
Didn't know it?
click below
 
Knew it?
click below
Don't Know
Remaining cards (0)
Know
0:00
edit
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

  Normal Size     Small Size show me how

Calculus-Integrals

funnnnn

QuestionAnswer
What does a definite integral find? The area underneath a curve.
What is an alternative use of integrals? Finding the length of a curve.
Who was credited with the first systematic technique for determining integrals? Eudoxus.
Who are the founders of Calculus, in which integrals are one of the techniques that can be categorized within the field? Isaac Newton and Liebniz.
Is there a power rule for integration? No. Power rule only applies to derivatives. U substitution undoes the power rule.
Find the integral of 8x^7 x^8 +C
Find the integral of cos(x) sin(x) +C
Find the integral of 1/(25-4x^2)^(1/2) (((sin2x/5))^(-1))/2 +C
Where are integrals used in the real world? Their applications in statistics, physics(engineering), and other fields make them extremely useful.
Is a riemann sum equivalent to an integral? No. Reimann sums are a cruder version of integrals, typically containing some error in their calculation. Hypothetically, with infinite rectangles, the riemann sum would be equivalent to the integral.
What are riemann sums? Riemann sums are an approximation of the area underneath a curve.
Find the intergral of Cos (x)^4 (12x+8sin(2x)+(sin(4x))/32 +C
Summarize the Mean Value Thereom for integrals. For a continuous function there is a point that equals the average of the function from the two endpoints.
The intergral is the opposite of what mathamatical concept. The derivitive.
True or False Intergrals can be used to find the area under curves in respect to the y-axis as well as the x-axis. True
True or False Some Intergrals do not have a limit. True
True or False the area under a curve will always be given by the value of an intergral False, if the area is below the axix then it is negative and will change the value of the integral.
Find the intergral of 8x^3+3x^2-18x+3 2x^4+3x^3-9x^2+3x +C
What is the formula for the Volume of a curve revolved around an axis. S (R^2)-(r^2) dr (from a to b)
What must you do if you are doing an improper integral? You have to take the limit of some variable, like a,b, or c, and carry out the integration.
How do you tell if an integral is divergent or convergent? When you carry out the integration and substitute variables in the integral is convergent only if terms are 0 over something or something over infinity. If there is 0 over 0 or infinity over infinity this does not meen the curve is convergent.
How does one take the definite integral of an equation that is non differentiable along the interval? Break up the integral into seperate integrals. Then set up a limit where some variable approaches the value of non differentiability.
Who is the sugar daddy of calculus? Bryan Zimmerman
What are possible tests of convergence for determining if an integral converges? Integral test, p test, comparison test, ratio test, and nth value test.
Why was calculus created? To do physics.
What are possible methods for doing solids of revolution? Washer method and hollow cylinder method.
The derivative of the integral of a function is equal to The original function.
True or False the original fuction is representative of the slop of the intergral. True
What is the integral of x^(1/2) (2(x)^(3/2))/3 +c
Calculus is fun no comment
True or false the answear to an integral is always positive. False it can be negative as well.
What is the integral of -cosx -sinx +C
Created by: kmeek13
Popular Math sets

 

 



Voices

Use these flashcards to help memorize information. Look at the large card and try to recall what is on the other side. Then click the card to flip it. If you knew the answer, click the green Know box. Otherwise, click the red Don't know box.

When you've placed seven or more cards in the Don't know box, click "retry" to try those cards again.

If you've accidentally put the card in the wrong box, just click on the card to take it out of the box.

You can also use your keyboard to move the cards as follows:

If you are logged in to your account, this website will remember which cards you know and don't know so that they are in the same box the next time you log in.

When you need a break, try one of the other activities listed below the flashcards like Matching, Snowman, or Hungry Bug. Although it may feel like you're playing a game, your brain is still making more connections with the information to help you out.

To see how well you know the information, try the Quiz or Test activity.

Pass complete!
"Know" box contains:
Time elapsed:
Retries:
restart all cards