THIS book seems well adapted to serve as a text-book for a first course in the differential and integral calculus. Fourteen chapters deal with the differential calculus and its applications to maxima ...
calculus - Evaluate an integral involving a series and product in the ...
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If today's college students could find a way to get their hands on a copy of Facebook's latest neural network, they could cheat all the way through Calc 3. They could even solve the differential ...
THIS is a book written to supply the wants of students in advanced physics who require some knowledge of the calculus to enable them to read treatises on physical ...
The integral becomes: $$ I = \frac {x} {a_ {404}} + \int \frac {R (x)} {x P_ {404} (x)} , dx $$ The constant $\frac {1} {a_ {404}} = \prod_ {r=0}^ {404} (5r+3)$.
The integral which you describe has no closed form which is to say that it cannot be expressed in elementary functions. For example, you can express $\int x^2 \mathrm {d}x$ in elementary functions such as $\frac {x^3} {3} +C$. However, the indefinite integral from $ (-\infty,\infty)$ does exist and it is $\sqrt {\pi}$ so explicitly: $$\int^ {\infty}_ {-\infty} e^ {-x^2} = \sqrt {\pi}$$ Note ...
Answers to the question of the integral of $\frac {1} {x}$ are all based on an implicit assumption that the upper and lower limits of the integral are both positive real numbers.