find a and b if ∫_0 ^∞ ((√t) +a(√(t+1))+b(√(t+2)))dt converges and give its value in this case.


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Question Number 44475 by abdo.msup.com last updated on 29/Sep/18

$f i n d a a n d b i f \int_{0}^{\infty} (\sqrt{t} + a \sqrt{t + 1} + b \sqrt{t + 2}) d t$ $c o n v e r g e s a n d g i v e i t s v a l u e i n t h i s c a s e .$
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