Question

derivative 1. 4-32 dZ z(2-1)(2-3)

Railway Exams

Maths

Solution

104

4.0 (1 ratings)

( int frac{(4-3 z) d x}{2(z-1)(2-3)} ) ( cos frac{4-3 z}{2(z-1)(z-3)}=frac{A}{z}+frac{B}{(z-1)}+frac{c}{(z-3)} ) ( A 4-3 z=A(z-1)(z-1)+B(z)(z-3)+((z)(z-1) ) ( tan ^{2}=1 ) ( 1=-2 B quad therefore quad B=-1 / 2 ) ( begin{aligned} text { for } z=0 & text { 4 }=3 pi pi quad therefore quad A=4 / 3 end{aligned} ) ( 202= ) ( -5=6 c=. quad c=-5 / 6 ) ( therefore frac{4-3 z}{2(z-1)(z-3)}=frac{4}{3 z}+-frac{1}{2(z-1)}-frac{5}{6(z-3)} ) ( int frac{4}{32}-int frac{1}{2(z-1)}-int frac{5}{6(z-3)} ) ( =frac{4}{3} m z-frac{1}{2} ln (z-1)-frac{5}{6} m(z-3) )