Computing Laplace Transforms (Using the Integral Definition)

[@earthworm02]

I feel lucky that I've found you! Thanks a lot for your lectures.

[@HoustonMathPrep]

Thank you for sharing your kind words and support! You are welcome :)

[@kavyarayidi1839]

You have really helped me a lot If I score well this semester, it's all thanks to you!!!!!!!!!!!!!❤💕

[@HoustonMathPrep]

Happy to help!

[@turbothrottletrouble4217]

I just love your videos. These will probably prepare me for my electrical and electronic engineering course

[@HoustonMathPrep]

Really glad you like them and they are helping you! Good luck with your course :)

[@curtpiazza1688]

Great examples. Thanx for covering this topic using limits! Very informative! 😊

[@lynou-cats]

I'm sorry for this debutant question but I must ask : at 3:42, how come v = (-1/s)*e^(-st) ? I'm trying to wrap my head around the (-1/s) : for me the antiderivative of e^(-st), following the de^(u) = e^(u)*u' rule, would be -s*e^(-st).. I don't understand. Would someone be patient enough to explain it to me?

[@HoustonMathPrep]

Hello! Remember that for the derivative of e^(-st), the chain rule tells us that the constant multiple "-s" would multiply the exponential. Since this is the antiderivative, the answer would have us dividing by the "-s" multiple, or you can think of it as multiplying by the reciprocal if you like. That's where we get the -1/s.