integration practice

2]\lim_{b\rightarrow a} \frac{\displaystyle\int_a^b \ln |1+(x-a)(b-x)|dx}{(b-a)^3}

standard ques

(1)
put x=cos2θ and the ques is solved[1]

(2)
use l hospital
answer should come

usin l'pithal one shud get
bt i m gettin x in num

mujhe samjha rahiin ho?????????

jaise aap samjoh just postin a bettr way :P

3]\int_0^{\pi} |a\cos nx+b\sin nx|dx\ (n=1,2,\cdots)

answers

1] -1 + π/2

2] 1/6