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
Related Maths A Level answers
All answers ▸The equation of a curve is x(y^2)=x^2 +1 . Using the differential, find the coordinates of the stationary point of the curve.
Differentiate y=ln(ln(x)) with respect to x.
Using the parametric equations x=6*4^t-2 and y=3*(4^(-t))-2, Find the Cartesian equation of the curve in the form xy+ax+by=c
Find the integral of y= e^3x / 1+e^x using calculus.