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Springs in Parallel and Series

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integration of e^-2t dt with limits infinity and 0 is ?

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Q. The difference between the greatest and the least value of the function f(x)=[integration with limits 0 to x] (t+1) dt on [2,3] is

f (0) = 0

\int_{0}^{2} f^{'} (2 t) e^{f (2 t)} d t = 5

Then the value of

f (4)

f (0) = 0

2 \int 0 f^{'} (2 t) e^{f (2 t)} d t = 5

, then the value of

f (4)

Q. Integrate the following functions with respect to t:

\int (3 t^{2} - 2 t) d t

f

be a continuous function. If

x \int 0 f (t) d t = e^{x} - c e^{2 x} 1 \int 0 f (t) e^{- t} d t,

c

is a non-zero constant, then

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