Question Number 186048 by ARUNG_Brandon_MBU last updated on 31/Jan/23

∫_a ^b (dx/( (√(b−x))+(√(x−a))))

Commented byARUNG_Brandon_MBU last updated on 31/Jan/23

≠0

Commented byMJS_new last updated on 31/Jan/23

sorry I′ve not got enough time right now  ∫_a ^b ...=2∫_a ^((a+b)/2) ...  solve in 2 steps:  t=(√(b−x))+(√(x−a))  u=arcsin (((√2)t)/(2(√(b−a))))  I get  2(√(b−a))+(√(2(b−a)))ln (−1+(√2))