Integrate the function (3x+4)^2 using methods of expansion and substitution

For expansion:(3x+4)2=9x2+24x+16, go through expansion in online classroom. Now we integrate this using standard polynomial integration rules.
For substitution:
use the substitution u=3x+4, and use the integration by substitution variable change formula; dx=(dx/du)du. Rearrange substitution above to find du/dx=1/3, now integrate obtained function u2/3 using standard polynomial integration rules.

Answered by Morgan R. Maths tutor

2842 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Show by induction that sum_n(r*3^(r-1))=1/4+(3^n/4)*(2n-1) for n>0


Find the exact value of the gradient of the curve y = e^(2- x)ln(3x- 2). at the point on the curve where x = 2.


Compare the following logarithms in base 1/2 without a calculator: log(8) and log(512)


Show that (sec(x))^2 /(sec(x)+1)(sec(x)-1) can be written as (cosec(x))^2.


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 2013–2024

Terms & Conditions|Privacy Policy