Integral of 1/(x^3 + 2x^2 -x - 2)

Factorise denominator using the factor theorem giving - 1/(x+1)(x+2)(x-1) Use partial fractions to turn this into an easier form to integrate giving - 1/3(x+2) + 1/6(x-1) - 1/2(x+1) using integral 1/x = ln(x) integrate each term seperately - 1/3 ln(x+2) + 1/6 ln(x-1) - 1/2 ln(x+1) + C Combine log terms using laws of logarithms - Answer: ln[ A(x-1)1/6 (x+2)1/3 (x+1)-1/2 ]

MO
Answered by Mojowo O. Maths tutor

9381 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The point P (4, –1) lies on the curve C with equation y = f( x ), x > 0, and f '(x) =x/2 - 6/√x + 3. Find the equation of the tangent to C at the point P , giving your answer in the form y = mx + c. Find f(x)


(a) By using a suitable trigonometrical identity, solve the equation tan(2x-π/6)^2 =11-sec(2x-π/6)giving all values of x in radians to two decimal places in the interval 0<=x <=π .


Find the first and second derivatives of: y = 6 - 3x -4x^-3, and find the x coordinates of the line's turning points


Differentiate with respect to X: x^2 + 2y^2+ 2xy = 2


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:

© 2025 by IXL Learning