Definite Integrals With U Substitution Homework

© www.MasterMathMentor.com- 185- IllegaltopostonInternet31. Definite Integrals with u-Substitution – ClassworkWhen you integrate more complicated expressions, you use u-substitution, as we did with indefinite integration. The issue is that we are evaluating the integrated expression between two x-values, so we have to work in x. The resolution is to perform a technique called changing the limits. Changing the limits allows us to switch both the integrand and limits of integration to u without having to then switch back to xwhen the integration is performed. It is more elegant and saves a little writing. Example 1) Find a) 2x x2+1( )3dx02∫without changing limits. b) 2x x2+1( )3dx02∫by changing the limits. Example 2) Find a) x1−x2dx01∫without changing limits. b) x1−x2dx01∫by changing the limits. Example 3) Find a) sin2x dx0π4∫without changing limits. b) x dx04∫by changing the limits.

Bobosharif S.

Fort Myers, FL

how to integrate √[ (1+y)/(1-y) ]dy from -1 to 0

integrate √[ (1+y)/(1-y) ]dy   from -1 to 0    the answer is: (pi/2) -1

Feb 19 | Fresh from Anchorage, AK | 1 Answer | 0 Votes

Definite IntegrationCalculus

Arturo O.

Melbourne, FL

What is ∫-7^-1 f(x)dx?

suppose that f(x) is an even function and let ∫0^1 f(x)dx = 5 and ∫0^7 f(x)dx = 1. What is ∫-7^-1 f(x)dx?   This is my work   I expand ∫-7^-1 f(x)dx to F(-1) - F(-7)   F(-1)...

Integral CalculusCalculus 1Definite Integration

Andy C.

Orlando, FL

What M value should I use? (how do i find it)

I was asked to calculate the area between two functions, y=e^x and y=x using midpoint riemann sums from 0-2 with n=4. so i found my answer by subtracting the second sum from the first. The second...

Jul 11 | Mathalina from Louisville, KY | 1 Answer | 0 Votes

IntegrationDefinite IntegrationIntegralsCalculusMath

Stephen M.

Spokane, WA

I need help to this problem!!

Integral of tan inverse of x divided by x, limits are from 1/2014 to 2014

Definite Integration

Kenneth S.

Mesa, AZ

If f' is continuous on [a,b], show that

2∫ab f(x)f'(x)dx=[f(b)]2-[f(a)]2

12/6/2016 | Harris from San Leandro, CA | 1 Answer | -1 Votes

Integral CalculusDefinite Integration

Francisco P.

Carrollton, TX

If I have a spinning bowl of water...

A spinning liquid of any sort forms a paraboloid; a three dimensional parabolic shape. Therefore, you can apply the physics principles relating to centripetal motion to any mass, m, on the surface...

12/26/2016 | Matthew from Annapolis, MD | 1 Answer | 0 Votes

PhysicsFluid DynamicsCentripetal AccelerationParabolasCalculusNo answers ... yet!

can you solve this problem?

Integral of tan inverse of x divided by x, limits are from 1/2014 to 2014

1/6/2017 | Akasapu from New York, NY | 0 Answers | 0 Votes

Definite IntegrationNo answers ... yet!

Can u solve this problem?

Integral of tan inverse of x divided by x, limits are from 1/2014 to 2014

1/5/2017 | Akasapu from New York, NY | 0 Answers | 0 Votes

Definite IntegrationNo answers ... yet!

Find Area bounded by the graphs

Find the area bounded by the graphs of the indicated equations over the given interval. Compute answers to three decimal places.   y=x^2+4, y=6x-6; -1 <x<2

5/10/2016 | John from Arvada, CO | 0 Answers | 0 Votes

Definite IntegrationNo answers ... yet!

Prove that the function is constant in the interval (0,infinity)

I still havent learned anthing about logarithm derivatives yet so i have no idea how to proof this even i know the answer is ln2.   So far with the definition of integral i transformed...

12/7/2016 | Harris from San Leandro, CA | 0 Answers | 0 Votes

Integral CalculusDefinite Integration

Bill P.

Manassas, VA

Indefinite/Definite Integrals

I need help solving a couple of indefinite/definite integrals. It seems all of my homework problems have done the less complicated ones so I'm not sure how to do these ones: First problem:...

4/21/2016 | Morgan from Fairfax, VA | 2 Answers | 0 Votes

CalculusCalculus 1IntegrationIntegral CalculusIntegrals

Gregg O.

Alhambra, CA

Definite Integral with U-Substitution

I have an integral with ∫ (b=0, a=-1) and the inside function is (2t)/[(3+t2)3]dt. The directions tell me to "Evaluate the definite integral by making a u-substitution and integrating...

CalculusIntegralsDefinite IntegrationU-Substitution

Ira S.

Hendersonville, NC

Find the interval [a,b] for which the value of the following integral is a maximum and explain the reasoning

∫ba (2+x-x2)dx

12/6/2016 | Harris from San Leandro, CA | 1 Answer | -1 Votes

Integral CalculusDefinite Integration

Richard P.

Alexandria, VA

Definite integral question

Calculate the integral of:  cos [2x] π. cos πx dx From 0 to 1.

5/26/2016 | Ritwika from San Francisco, CA | 1 Answer | 0 Votes

CalculusDefinite Integration

Roman C.

Brookline, MA

Integral limit definition

No limit is visible in integral notation, but integration is defined in terms of a limit.  Give the definition; explain what is being limited, and how this allows an integral to calculate the...

5/25/2016 | Drake from Swanton, OH | 1 Answer | 0 Votes

IntegrationDefinite IntegrationCalculus

Derek F.

Melrose, MA

Cubic curve integral - area enclosing curve and x-axis

The curve is x^3-6x^2+11x-6. I have to prove that the two regions enclosed between the x-axis and the curve are equal. Given is, that the curve cuts the x-axis at x=1,x=2 and x=3. I tried finding...

IntegralsDefinite IntegrationIntegralNo answers ... yet!

Finding an integral given the substitution

Use the substitution         u = x - 1/x             to show that the integral from       1 to (√pi +√2)/2...

4/15/2016 | Chloe from Abbeville, AL | 0 Answers | 0 Votes

Definite IntegrationSubstitution MethodNo answers ... yet!

can someone help me integrate the following?

integrate from pi/6 to pi/2 (x+16/(sinx^2))dx

4/25/2014 | Allison from San Diego, CA | 0 Answers | 0 Votes

Definite Integration

Eric C.

Lake Forest, CA

integrate 0 to pi/2 xsinx/1+ cos2x

definite integral question

11/25/2015 | Sreelatha from Beatrice, NE | 1 Answer | 0 Votes

Definite Integration

Eugene E.

Naperville, IL

Express limit as definite integral?

limit as n goes to infinity.   n Σ     i4/n5     on interval [0,1] i=1   Options are:  1             1...

7/17/2015 | Carolina from Altoona, PA | 1 Answer | 0 Votes

Definite IntegrationCalculusIntegrals

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