Can I have help with integrating by parts? I am unsure on how to use the formula.

Integrating by parts is simple. Simply put the equation into two parts, U and dV/dx. When considering which part of the original function will be U and which part will take dV/dx, you should consider which part is easier to integrate once it is differentiated and use this as your U.We will differentiate U in order to get the differential of U (dU/dx) which will be used in our final formula. Equally, we will integrate dV/dx in order to find V and use this to have an easier integral to use in our final formula: ∫ u.dvdx dx = uv − ∫ vdu .dx dx.  This process may have to be repeated a number of times for any given question but should get you to the correct solution assuming that your standard intergration and differentiation calculations are correct. This topic initially seems scary but uses fundamental calculus that students use every day, just simply putting it into a formula to make difficult integrals more basic. 

Answered by Milo L. Maths tutor

2634 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the values of x where the curve y = 8 -4x-2x^2 crosses the x-axis.


The volume, V, of water in a tank at time t seconds is given by V = 1/3*t^6 - 2*t^4 + 3*t^2, for t=>0. (i) Find dV/dt


integrate cos^2(2x)sin^3(2x) dx


Find the stationary points on y = x^3 + 3x^2 + 4 and identify whether these are maximum or minimum points.


We're here to help

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