MYTUTOR SUBJECT ANSWERS

331 views

Integrate this funtion f'(x)=2x +4 with respect to x (C1 integration)

Solution to Answer:

y= (2x^2)/2 + 4x + C

Therefore:

y= x^2 + 4x + C

Steps on how to do C1 Integration

y = a*x^n

y = a*x^n is y = (a/n+1)*x^(n+1)

Therefore, our final answer in this case is y = (a/n+1)*x^(n+1) + C.​

We add the integration constant as when we defrentiate a function f(x) and have a constant in the equation, the constant goes. therfore when integrating we do the opposite of integration and hence add the integration constant C.

Differentiating the expression y=2x+2. 
The answer would be f'(x)= 2
Now when you integrate the expression f'(x) 
The answer would be y=2x 
Something is missing? 
As we don't know if there is a constant when we integrate and we also don't know its value we put the integration constant "C" to show the fact that there might be a constant. 
The correct answer for the integration of f'(x)=2 would be y=2x+c where c=2 in this case. 

Seair Q. A Level Maths tutor, 11 Plus Maths tutor, GCSE Maths tutor, ...

11 months ago

Answered by Seair, an A Level Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

254 SUBJECT SPECIALISTS

£20 /hr

Waseem A.

Degree: Physics (Bachelors) - Oxford Alumni University

Subjects offered: Maths, Physics+ 2 more

Maths
Physics
Further Mathematics
.PAT.

“About Me: I studied physics at Oxford University before switching to a mathematics course at Lancaster University and am now aspiring to enrol in a graduate program in mathematics. I have appreciated mathematics and physics from an ea...”

£20 /hr

Andrew G.

Degree: Physics (Bachelors) - Exeter University

Subjects offered: Maths, Physics

Maths
Physics

“About Me: I am Physics student studying at University of Exeter. I have a real passion for my subject and would love the opportunity to pass on some of my knowledge and experiences. As well as making tough subjects fun and easy to und...”

MyTutor guarantee

£20 /hr

Fraser F.

Degree: Mathematics (Masters) - Durham University

Subjects offered: Maths

Maths

“Hi, I'm Fraser! I'm a third year student at Durham University working towards a masters in mathematics. I've loved learning about maths and I hope I am able to pass that on to anyone I tutor. Sessions will be focussed around your needs...”

MyTutor guarantee

About the author

Seair Q.

Currently unavailable: for regular students

Degree: Civil Engineering (Bachelors) - Nottingham University

Subjects offered: Maths, -Personal Statements-

Maths
-Personal Statements-

“About me:I am a first year Civil Engineering student, at the University of Nottingham. I am currently aMentor at IntoUniversity and a STEM Ambassador at STEMNET, therefore I have a lot of experience with working young people, not to ...”

You may also like...

Other A Level Maths questions

How can I integrate the function f(x) = x sin(x)?

How do I differentiate a quadratic to the power n?

Differentiate y = x^3 +x^2 - 4x +5 with respects to x.

Find the equation of the normal line at the point H, where θ= π/6, on the curve with equations x=3sinθ and y=5cosθ

View A Level Maths tutors

Cookies:

We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok