Question

Integration la la

Answer 1

the usual. used u sub

Answer 2

yes

Answer 3

and i got du= 1/2 (1-e^t) ^-1/2

Answer 4

that looks complicated, lets try a different substitution

Answer 5

yes, exactly!

Answer 6

try \(\large u = 1-e^{t}\)

Answer 7

du would be -e^t dt

Answer 8

yes

Answer 9

and and i got dt= -1/e^t du

Answer 10

du = -e^t dt

-du = e^t dt

Answer 11

\[\large \int \dfrac{1}{\sqrt{u}} (-du) \]

\[\large -\int u^{-\frac{1}{2}}(du) \]

Answer 12

the answer would be -2 sq rt 1- e^2 +c. Thank you so much!!

Answer 13

np :)