(a) Express 9x+11/(2x+3)(x-1) as partial fractions and (b) find the integral of 9x+11/(2x+3)(x-1) with respect to x

(a)  9x+11/(2x+3)(x-1) = A/2x+3 + B/x-1
      9x+11 = (x-1)A + (2x+3)B
      Setting x=1 gives B=4, setting x=-3/2 gives A=1
      so the final answer is 1/(2x+3) + 4/(x-1)
 

(b) 1/2ln|2x+3| + 4ln|x-1| + c

AT
Answered by Amelia T. Maths tutor

4939 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Solve the simultaneous equations: y-2x-4=0, 4x^2+y^2+20x=0


The curve C has the equation y = 2e^x -6lnx and passes through the point P with x - coordinate 1. a) Find the equation to the tangent to C at P


The line AB has equation 3x + 5y = 7. What is the gradient of AB?


The equation (t – 1)x^2 + 4x + (t – 5) = 0, where t is a constant has no real roots. Show that t satisfies t2–6t+1>0


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences