How do I integrate and differentiate 1/(x^2)?

1/(x2) can be written as x-2

We know that to differentiate you need to multiply by the value of the old power and minus 1 from it. This means dy/dx of y=x-2 is -2x-3=-2/(x3)

To integrate you add one to the power and divide by the new power and add a constant. So the integral is (1/-1)x-1+c=-1/x + c

JG
Answered by Judy G. Maths tutor

4137 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Express (4x)/(x^2-9) - (2)/(x+3) as a single fraction in its simplest form.


A girl saves money over 200 weeks. She saves 5p in Week 1, 7p in Week 2, 9p in Week 3, and so on until Week 200. Her weekly savings form an arithmetic sequence. Find the amount she saves in Week 200. Calculate total savings over the 200 week period.


The probability distribution of the random variable X is given by the formula P(X = x) = 0.09+0.01x^2 for x= 1,2,3,4,5 ). Find E(X).


Write down the values of (1) loga(a) and (2) loga(a^3) [(1) log base a, of a (2) log base a of (a^3)]


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:

© 2026 by IXL Learning