# Calculus

integrate (t(root t)+t(root t))/t^2 dt

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1. [ t sqrt ( t ) + t sqrt ( t ) ] = 2 t sqrt ( t )

2 t sqrt ( t ) / t ^ 2 = 2 * sqrt ( t ) / [ sqrt ( t ) * sqrt ( t ) * t ] =

2 / sqrt ( t ) = 2 * t ^ ( - 1 / 2 )

int [ 2 * t ^ ( - 1 / 2 ) ] dt =

2 * t ^ ( - 1 / 2 + 1 ) / ( - 1 / 2 + 1 )=

2 * t ^ ( 1 / 2 ) / ( 1 / 2 ) =

2 * 2 * sqrt ( t ) = 4 sqrt ( t ) + C

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posted by Bosnian
2. I think you forgot the extra t in the denominator at

2 / sqrt ( t ) = 2 * t ^ ( - 1 / 2 )

Should be

2t^(-3/2)

and proceed from there...

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posted by Steve

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