Question: Evaluate the definite integral 1) Show using an appropriate u-substitution that Z ln3 0 e^x /1 + e^2x dx = /12Clarification: limits of integral ln

Evaluate the definite integral

1) Show using an appropriate u-substitution that Z ln3 0 e^x /1 + e^2x dx = /12Clarification:

limits of integral ln square root of 3 and 0. e^ to the x/1+e ^to the 2x dx Answer pi/12

2) Show using an appropriate u-substitution that Z 1/6 0 3 1 9^x2 dx = /6

limits of integral 1/6 and 0. 3/sqrt 1-9x^ (x squared)dx. Answerpi/6

Tutor, can you give detailed explanation at every step. I am trying to get e to the ... not working. Please help!

Can you write legibly and explain "u" and "du"

Thank you very much tutor.

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