R
RichardBlower
Member
Hello,
I am working through CT1 and have come across the worked example whereby the integral of (0.5t+2)*exp(-(0.005t^2+0.04t)) dt becomes the integral of -50 e^u du via the use of substitution,
I understand/can utilise the concept of substitution and how it has been applied here however should there be a case whereby substitution is not applicable (0.5t+2 is not a multiple of u') can someone provide a step by step method of integrating this example please as I am struggling to work this through without substitution?
Alternatively, if anyone on this forum could confirm that should a question similar to the above come up in the exam that substitution as per the example would be sufficient, this would be appreciated.
Many Thanks
Richard
I am working through CT1 and have come across the worked example whereby the integral of (0.5t+2)*exp(-(0.005t^2+0.04t)) dt becomes the integral of -50 e^u du via the use of substitution,
I understand/can utilise the concept of substitution and how it has been applied here however should there be a case whereby substitution is not applicable (0.5t+2 is not a multiple of u') can someone provide a step by step method of integrating this example please as I am struggling to work this through without substitution?
Alternatively, if anyone on this forum could confirm that should a question similar to the above come up in the exam that substitution as per the example would be sufficient, this would be appreciated.
Many Thanks
Richard