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

Solution to Answer:

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


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, ...

9 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


£26 /hr

James B.

Degree: Management (Bachelors) - Bristol University

Subjects offered: Maths, Physics+ 2 more


“Hi there! I am currently a 2nd year Management student at the University of Bristol. I originally took Computer Science but switched to Management after 2 years of study. During my school life I was always very Science-based, studying...”

£20 /hr

Elena S.

Degree: Mechanical Engineering MEng (Masters) - Imperial College London University

Subjects offered: Maths, Physics+ 3 more

Further Mathematics

“I am currently studying Mechanical Engineering at Imperial College London. This comes out of my passion for forming real life solutions to problems and love of problem solving. It’s this that inspires my tutoring also. Throughout univ...”

MyTutor guarantee

£20 /hr

Dharani Y.

Degree: Medicine (Bachelors) - Kings, London University

Subjects offered: Maths, Science+ 4 more

-Personal Statements-
-Medical School Preparation-

“A little bit about me: Hi, I’m Dharani! I am a medical student at King’s College London. I have some experience in mentoring as I used to help younger students on a one-to-one basis at school during classes. The idea of being able to ...”

MyTutor guarantee

About the author

Seair Q.

Currently unavailable: for regular students

Degree: Civil Engineering (Bachelors) - Nottingham University

Subjects offered: Maths, -Personal Statements-

-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

What is an Inverse function?

Showing all your working, evaluate ∫ (21x^6 - e^2x- (1/x) +6)dx

Do y=3x^2+5x+12 and y=3x-8 intercept with each other? If yes, at which point(s)?

How do you use trigonometry to work out angles and lengths of sides in a right angle triangle

View A Level Maths tutors


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