f(x) = (x^1/2)/lnx #16: What is the indefinite integral of f(x)? Compute: S f(x) dx. #17:...

f(x) = (x^1/2)/lnx

#16: What is the indefinite integral of f(x)?

Compute: S f(x) dx.

#17: What is the definite integral of f(x) from lower limit x = 4 to upper limit x = 9?

Compute: S 4,9 f(x) dx

Solutions

Expert Solution

Using method of substitution

then ,

let 3t = u, then 3dt = du,

This can not be integrated to any elementary function.

It can be written as series using by parts infinite times:

Definite integral :

as this is infinite series, the given sum is an approximation (using calculator).

milcah answered 1 year ago

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