Differentiate and then integrate: x^2 + 3x

To differentiate, the rule is to bring the power down to the front and multiply the expression, then take one off the value of the power, for example: d/dx(x2) = (2)x2-1 = 2x, so the answer to the the question given is: (2)x2-1 + (1)3x1-1 = 2x + 3
To integrate, you first add one to the power, and then divide the expression by the new value of the power for example: integrate(x2) = x2+1(1/3)So the answer to the question is: x2+1(1/3) + 3x1+1(1/2) = (1/3)x3 + (1/2)x2 + CRemember to add the constant of integration (C) and sometimes if we were to differentiate just a number, the expression would disappear and so we need to account for this in the integral.

Answered by Maths tutor

4282 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Can you teach me how to rationalise the denominator of an algebraic expression?


Calculate the volume obtained when rotating the curve y=x^2 360 degrees around the x axis for 0<x<2


How do you find the turning point of a parabola using its equation? using its equation?


It is given that n satisfies the equation 2*log(n) - log(5*n - 24) = log(4). Show that n^2 - 20*n + 96 = 0.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning