How do I integrate ln(t)t dt. I know that the answer is 12 ln(t)^2.pdf

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How do I integrate ln(t)/t dt. I know that the answer is 1/2 ln(t)^2 + C, but I don\'t know how to arrive at that. I tried integrating by parts and that didn\'t seem to work. Solution put lnt = y differeantiating with t, 1/t = dy/dt now, int [ lnt/t dt ] = int [ y/t x tdy ] = int [ y dy ] = y^2/2 + c put y = lnt we get , I = (lnt)^2/2 + c.

How do I integrate ln(t)/t dt. I know that the answer is 1/2 ln(t)^2 + C, but I don't know how to
arrive at that. I tried integrating by parts and that didn't seem to work.
Solution
put lnt = y differeantiating with t, 1/t = dy/dt now, int [ lnt/t dt ] = int [ y/t x tdy ]
= int [ y dy ] = y^2/2 + c put y = lnt we get , I = (lnt)^2/2 + c

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QUATER-1-PE-HEALTH-LC2- this is just a sample of unpacked lesson

NO1 Top Black Magic Specialist In Lahore Black magic In Pakistan Kala Ilam Ex...

NO1 Top Black Magic Specialist In Lahore Black magic In Pakistan Kala Ilam Ex...

NO1 Top Black Magic Specialist In Lahore Black magic In Pakistan Kala Ilam Ex...

Play hard learn harder: The Serious Business of Play

Play hard learn harder: The Serious Business of Play

Play hard learn harder: The Serious Business of Play

HMCS Max Bernays Pre-Deployment Brief (May 2024).pptx

HMCS Max Bernays Pre-Deployment Brief (May 2024).pptx

HMCS Max Bernays Pre-Deployment Brief (May 2024).pptx

How do I integrate ln(t)t dt. I know that the answer is 12 ln(t)^2.pdf

1. How do I integrate ln(t)/t dt. I know that the answer is 1/2 ln(t)^2 + C, but I don't know how to arrive at that. I tried integrating by parts and that didn't seem to work. Solution put lnt = y differeantiating with t, 1/t = dy/dt now, int [ lnt/t dt ] = int [ y/t x tdy ] = int [ y dy ] = y^2/2 + c put y = lnt we get , I = (lnt)^2/2 + c