Integrate (3x^2 - (1/4)x^-2 + 3) dx

3x2-(1/4)x-2+3
Split the problem into three separate terms and integrate independently.With any term where x is to the power of something, divide the coefficient by the value of the power plus 1.e.g. 3x2 ---> [3/(2+1)]x2 ---> x2But this is not your final answer. You must then take the power and plus 1.x2 ---> x2+1 ---> x3
Applying this to the question:3x2 ---> [3/(2+1)]x2+1---> x3(1/4)x-2 ---> [(1/4)/(-2+1)]x-2+1 ---> (-1/4)x-13 ---> 3x
Combined, this gives you:x3--(1/4)x-1+3x+C= x3+(1/4)x-1+3x+C

LL
Answered by Lucy L. Maths tutor

4113 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do i find dy/dx in terms of t for two parametric equations that are in terms of t.


y = 4sin(x)cos(3x) . Evaluate dy/dx at the point x = pi.


Let p(x) =30x^3 - 7x^2 -7x + 2. Prove that (2x+1) is a factor of p(x).


A football is kicked at 30 m/s at an angle of 20° to the horizontal. It travels towards the goal which is 25 m away. The crossbar of the goal is 2.44 m tall. (A) Does the ball go into the goal, hit the crossbar exactly, or go over the top?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences