solve-the-given-problems-if-int_ab-fx-d-x4-evaluate-int_ba-fx-d-x-2

Question

Solve the given problems.
If $\int_{a}^{b} f(x) d x=4,$ evaluate $\int_{b}^{a} f(x) d x$

Dwijendra Rao · Accepted Answer

Hello Friends we have to Well you the interior. If it is given in the question in developed it will be of help X. The explicit costs before it is given in the question. And we have to wear cute duration of bit away F of X. Of the X. Okay. Yeah. Yeah. So this will be we know that integral property so we can ride it if we want to solve it. So this will be you. Yeah U two BFFX DX. Then we can add it like this minus of it will be this is the property of in jail and then be interchange them limits like a parliament a parliament is he? And here the parliament is V here the lower limit is being here the your limit is a so we interchanged the limit so that&#x27;s why this negative sign comes. Okay. And we know that the value of It will be integration of it will be a fastidious. It cost 24. So this will be a cost to four. So answer of this integral will be -4. I hope you understood. Thank you. This is the answer

Elham Kordzadeh · Answer

integral begins from sitting toe. Full intake begins from Syria to poor full minus geeks minus fully. Please usually equals So integral begins from cereals Food four weeks minus case to divide this way. Who minus likes between cereal and you? A course to individual begins from zero to a full 16 but minus 16 other too. A minus schoolboy, Do you worry? We should also integral begins from 0 to 4 eight minus four. Boy de boy, it was 28 boy minus who boy too. The white as much betweens And no, we should hold still little

Amy Jiang · Answer

Okay, so we see in her first parts we have extra parts to here and a derivative in terms of X. So we can you equal to three x squared much five and then our do you that&#x27;s equal to, um six, which is three times to x the X. So we have that&#x27;s in the form where we can use use of and then for next one, well, we can let our inside be able to you to simplify it up, and then we&#x27;ll do you that&#x27;s just equal to negative Dia one in four port. See, we see that are the nominator has extra parts three under numerator has extra prostitute. So why don&#x27;t we let or you be what&#x27;s inside our denominator And then we get our derivative That&#x27;s people to six x squared DX. And that&#x27;s this portion here. Okay. And for last port, we see that he has a power of extra par four and then we have extra part three here so we can let you be what&#x27;s in our power and then a derivative that&#x27;s equal to four x cubed DX. And that&#x27;s exactly what we have here. To see it. All of our problems we can use use of

Vinnu M · Answer

to solve these questions, we have to substitute various expressions in the form off a single variable. Say you the first use you can be taken us tree expert One for DX would be. Do you buy three? Sure. Sorry. So the identical I will convert to from one through four. If off you do you by three Here Ffx is for you or say f off anyway. Payable would be fighting So one by t two in particular from 1 to 4 f off you deal, it would be five by three Just the answer. Well early for the second problem, we take you as three x so t x would be equal Do do you buy three And it and that the theme with the new individual will become for genuine trickle will become zero through nine for you do you by three Which upon simplification feel guilt If I buy three which is the answer But the second one And finally the same way we take you as from X squared. So do you buy two equal to x dx during a shame Really? I again guns four to feel for you. Do you try to No you can read. I dis ass my nuts off. Printed a photo four and forth you, do you? But to, since it is given four factors integral off X from Kyoto for this one, you get the answer off. I myself One bite.

Sid Wan · Answer

Okay. Finds an integral off That&#x27;s over full. Tend Actual full square the ah, that&#x27;s C If we take at our four square you to be that he was Explorer over sixteen D&#x27;You equals axe over Ate the X so we can run this a cz This guy is to see you, Tad. You too. Do you on your hands? You Because ah, well two in front collective national off cause I you we&#x27;LL see if you plugging you to be x square over sixteens that give to natural log because I asked Square over sixteen c, yeah.

Aishwarya Krishnakumar · Answer

so for problem 11. We are asked to use substitution to find this indefinite integral. So for the U substitution, we&#x27;re gonna let this equal, are you? And we do that because it&#x27;s a function inside of a function. This function is inside that e function. So we&#x27;re gonna let you equal to X to be the fourth power. So we go ahead and take the derivative of both sides. We get to you equals two times for ext three d x. So to make this easier, we could do do you over to divide both sides of the incursion by two. He goes for X cube, deed X. Now we go ahead and we&#x27;ll get in like us. So the four first weaken do this part and it would be four x cubed de ETS. But we have ah 1/2. So we remove that outside the integral and all of that equals you. And then for the you part, you would do e to the you power because that is what we chose there you to be This equals won her time&#x27;s a So the integral of this e to the youth is even to you and then you have to do the plus c. We&#x27;ll be eating you over to you plus C and you can&#x27;t leave it in terms of you. You have to plug in two X to the fourth in replacement of every U to exit before two times two weeks before we&#x27;ll see. And if you simplify this, you get to e to it to the fourth over for it&#x27;s to the fourth. What? See? And this would be your answer.

Problem

Solve the given problems. If $\int_{1}^{7} f(x) d…

Problem 43 Easy Difficulty

Solve the given problems.
If $\int_{a}^{b} f(x) d x=4,$ evaluate $\int_{b}^{a} f(x) d x$

Answer

Related Courses

Basic Technical Mathematics with Calculus

Related Topics

Discussion

Top Calculus 1 / AB Educators

Grace H.

Kayleah T.

Caleb E.

Michael J.

Calculus 1 / AB Courses

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Watch More Solved Questions in Chapter 25

Video Transcript

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

Grace H.

Kayleah T.

Caleb E.

Michael J.

Precalculus Review - Intro

Functions on the Real Line - Overview

What do you need help with?

Textbooks

Ask a question

Courses

AI Tutor

Basic Technical Mathematics with Calculus

Grace H.

Kayleah T.

Caleb E.

Michael J.

Precalculus Review - Intro

Functions on the Real Line - Overview

Allyn J. Washington, Richard S. EvansBasic Technical Mathematics with Calculus

Grace H.

Kayleah T.

Caleb E.

Michael J.

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus